Nonlinear Ocean Waves and the Inverse Scattering Transform

Nonlinear Ocean Waves and the Inverse Scattering Transform
Author: Alfred R. Osborne
Publsiher: Unknown
Total Pages: 917
Release: 2010
ISBN 10: 9780125286299
ISBN 13: 0125286295
Language: EN, FR, DE, ES & NL

Nonlinear Ocean Waves and the Inverse Scattering Transform Book Review:

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. presents techniques and methods of the inverse scattering transform for data analysis geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis suitable for classroom teaching as well as research

Nonlinear Ocean Waves and the Inverse Scattering Transform

Nonlinear Ocean Waves and the Inverse Scattering Transform
Author: Alfred Osborne
Publsiher: Academic Press
Total Pages: 944
Release: 2010-04-07
ISBN 10: 9780080925103
ISBN 13: 0080925103
Language: EN, FR, DE, ES & NL

Nonlinear Ocean Waves and the Inverse Scattering Transform Book Review:

For more than 200 years, the Fourier Transform has been one of the most important mathematical tools for understanding the dynamics of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis of measured space and time series, which can be found in a wide variety of physical settings including surface water waves, internal waves, and equatorial Rossby waves. This revolutionary development will allow hyperfast numerical modelling of nonlinear waves, greatly advancing our understanding of oceanic surface and internal waves. Nonlinear Fourier analysis is based upon a generalization of linear Fourier analysis referred to as the inverse scattering transform, the fundamental building block of which is a generalized Fourier series called the Riemann theta function. Elucidating the art and science of implementing these functions in the context of physical and time series analysis is the goal of this book. Presents techniques and methods of the inverse scattering transform for data analysis Geared toward both the introductory and advanced reader venturing further into mathematical and numerical analysis Suitable for classroom teaching as well as research

Scattering Two Volume Set

Scattering  Two Volume Set
Author: E. R. Pike,Pierre C. Sabatier
Publsiher: Academic Press
Total Pages: 1831
Release: 2002
ISBN 10: 0126137609
ISBN 13: 9780126137606
Language: EN, FR, DE, ES & NL

Scattering Two Volume Set Book Review:

Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of ...

Rogue and Shock Waves in Nonlinear Dispersive Media

Rogue and Shock Waves in Nonlinear Dispersive Media
Author: Miguel Onorato,Stefania Resitori,Fabio Baronio
Publsiher: Springer
Total Pages: 370
Release: 2016-09-19
ISBN 10: 331939214X
ISBN 13: 9783319392141
Language: EN, FR, DE, ES & NL

Rogue and Shock Waves in Nonlinear Dispersive Media Book Review:

This self-contained set of lectures addresses a gap in the literature by providing a systematic link between the theoretical foundations of the subject matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics. Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonlinear optics, in Bose-Einstein condensates, and in plasmas. Rogue and dispersive shock waves are both characterized by the development of extremes: for the former, the wave amplitude becomes unusually large, while for the latter, gradients reach extreme values. Both aspects strongly influence the statistical properties of the wave propagation and are thus considered together here in terms of their underlying theoretical treatment. This book offers a self-contained graduate-level text intended as both an introduction and reference guide for a new generation of scientists working on rogue and shock wave phenomena across a broad range of fields in applied physics and geophysics.

Guided Wave Optics

Guided Wave Optics
Author: Boris Malomed
Publsiher: MDPI
Total Pages: 322
Release: 2018-03-23
ISBN 10: 3038426148
ISBN 13: 9783038426141
Language: EN, FR, DE, ES & NL

Guided Wave Optics Book Review:

This book is a printed edition of the Special Issue "Guided-Wave Optics" that was published in Applied Sciences

Nonlinear Ocean Dynamics

Nonlinear Ocean Dynamics
Author: Maged Marghany
Publsiher: Elsevier
Total Pages: 462
Release: 2021-02-09
ISBN 10: 0128209259
ISBN 13: 9780128209257
Language: EN, FR, DE, ES & NL

Nonlinear Ocean Dynamics Book Review:

Nonlinear Ocean Dynamics: Synthetic Aperture Radar delivers the critical tools needed to understand the latest technology surrounding the radar imaging of nonlinear waves, particularly microwave radar, as a main source to understand, analyze and apply concepts in the field of ocean dynamic surface. Filling the gap between modern physics quantum theory and applications of radar imaging of ocean dynamic surface, this reference is packed with technical details associated with the potentiality of synthetic aperture radar (SAR). The book also includes key methods needed to extract the value-added information necessary, such as wave spectra energy, current pattern velocity, internal waves, and more. This book also reveals novel speculation of a shallow coastal front: named as Quantized Marghany's Front. Rounding out with practical simulations of 4-D wave-current interaction patterns using using radar images, the book brings an effective new source of technology and applications for today’s coastal scientists and engineers. Solves specific problems surrounding the nonlinearity of ocean surface dynamics in synthetic aperture radar data Helps develop new algorithms for retrieving ocean wave spectra and ocean current movements from synthetic aperture radar Includes over 100 equations that illustrate how to follow examples in the book

Princeton Companion to Applied Mathematics

Princeton Companion to Applied Mathematics
Author: Nicholas J. Higham
Publsiher: Princeton University Press
Total Pages: 1032
Release: 2015-09-09
ISBN 10: 0691150397
ISBN 13: 9780691150390
Language: EN, FR, DE, ES & NL

Princeton Companion to Applied Mathematics Book Review:

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

Ocean Wave Dynamics

Ocean Wave Dynamics
Author: Ian Young,Alexander Babanin
Publsiher: World Scientific
Total Pages: 396
Release: 2020-03-20
ISBN 10: 9811208689
ISBN 13: 9789811208683
Language: EN, FR, DE, ES & NL

Ocean Wave Dynamics Book Review:

Ocean Wave Dynamics is the most up-to-date book of its kind on the three main processes responsible for the generation and evolution of ocean waves: (i) atmospheric input from the wind, (ii) wave breaking and (iii) nonlinear interactions.Ocean waves are important for many reasons. They are the major environmental impact on in the design of coastal or offshore structures. Ocean waves are also fundamental to the processes of coastal flooding and beach erosion. They will play a major role in storm related coastal flooding which will rise in frequency as a result of sea level rise. Ocean waves are also an important part of the coupled ocean-atmosphere system. They determine the roughness of the ocean surface and hence have an impact on winds, fluxes of energy, gases and heat to the ocean and even the stability of ice sheets.Containing the latest research on ocean waves, it is a valuable resource for an overview of knowledge in this important field.Related Link(s)

Dynamics of the Equatorial Ocean

Dynamics of the Equatorial Ocean
Author: John P. Boyd
Publsiher: Springer
Total Pages: 517
Release: 2017-09-25
ISBN 10: 3662554763
ISBN 13: 9783662554760
Language: EN, FR, DE, ES & NL

Dynamics of the Equatorial Ocean Book Review:

This book is the first comprehensive introduction to the theory of equatorially-confined waves and currents in the ocean. Among the topics treated are inertial and shear instabilities, wave generation by coastal reflection, semiannual and annual cycles in the tropic sea, transient equatorial waves, vertically-propagating beams, equatorial Ekman layers, the Yoshida jet model, generation of coastal Kelvin waves from equatorial waves by reflection, Rossby solitary waves, and Kelvin frontogenesis. A series of appendices on midlatitude theories for waves, jets and wave reflections add further material to assist the reader in understanding the differences between the same phenomenon in the equatorial zone versus higher latitudes.

The Numerical Inverse Scattering Transform Nonlinear Fourier Analysis and Nonlinear Filtering of Oceanic Surface Waves

The Numerical Inverse Scattering Transform  Nonlinear Fourier Analysis and Nonlinear Filtering of Oceanic Surface Waves
Author: A. R. Osborne,HAWAII UNIV HONOLULU DEPT OF OCEANOGRAPHY.
Publsiher: Unknown
Total Pages: 23
Release: 1993
ISBN 10: 1928374650XXX
ISBN 13: OCLC:228026110
Language: EN, FR, DE, ES & NL

The Numerical Inverse Scattering Transform Nonlinear Fourier Analysis and Nonlinear Filtering of Oceanic Surface Waves Book Review:

Nonlinear Fourier analysis is discussed as it arises from the exact spectral solution to large classes of nonlinear wave equations which are integrable by the inverse scattering transform (IST). The approach may be viewed as a generalization of the ordinary, linear Fourier transform or Fourier series. Numerical methods are discussed which allow for implementation of the approach as a tool for the time series analysis of oceanic wave data. I specifically consider the case for shallow water, where integrable nonlinear wave motion is governed by the Korteweg-de Vries equation with periodic/quasi-periodic boundary conditions. Numerical procedures given herein allow the computation of a nonlinear Fourier series for a measured time series. The nonlinear oscillation modes of KdV obey a linear superposition law, just as do the sine waves of a linear Fourier series. However, the KdV basis functions themselves are highly nonlinear, undergo nonlinear interactions with each other and are distinctly non sinusoidal. I analyze surface wave data from the Adriatic Sea and apply the concept of nonlinear filtering to enhance understanding of nonlinear interactions.

Numerical Modeling of Sea Waves

Numerical Modeling of Sea Waves
Author: Dmitry V. Chalikov
Publsiher: Springer
Total Pages: 330
Release: 2016-06-25
ISBN 10: 3319329162
ISBN 13: 9783319329161
Language: EN, FR, DE, ES & NL

Numerical Modeling of Sea Waves Book Review:

Presenting a novel approach to wave theory, this book applies mathematical modeling to the investigation of sea waves. It presents problems, solutions and methods, and explores issues such as statistical properties of sea waves, generation of turbulence, Benjamin-Feir instability and the development of wave fields under the action of wind. Special attention is paid to the processes of dynamic wind-wave interaction, the formation of freak waves, as well as the role that sea waves play in the dynamic ocean/atmosphere system. It presents theoretical results which are followed by a description of the algorithms used in the development of wave forecasting models, and provides illustrations to assist understanding of the various models presented. This book provides an invaluable resource to oceanographers, specialists in fluid dynamics and advanced students interested in investigation of the widely known but poorly investigated phenomenon of sea waves.

Recent Development in Theories Numerics

Recent Development in Theories   Numerics
Author: Yiu-Chung Hon,Masahiro Yamamoto
Publsiher: World Scientific
Total Pages: 454
Release: 2003
ISBN 10: 9812383662
ISBN 13: 9789812383662
Language: EN, FR, DE, ES & NL

Recent Development in Theories Numerics Book Review:

Annotation. Proceedings from the First International Conference on Inverse Problems, Recent Theoretical Development and Numerical Approaches, held at the City University of Hong Kong from January 9-12, 2002.

Transformation Wave Physics

Transformation Wave Physics
Author: Mohamed Farhat,Pai-Yen Chen,Sebastien Guenneau,Stefan Enoch
Publsiher: CRC Press
Total Pages: 474
Release: 2016-11-18
ISBN 10: 1315341085
ISBN 13: 9781315341088
Language: EN, FR, DE, ES & NL

Transformation Wave Physics Book Review:

Space–time transformations as a design tool for a new class of composite materials (metamaterials) have proved successful recently. The concept is based on the fact that metamaterials can mimic a transformed but empty space. Light rays follow trajectories according to Fermat’s principle in this transformed electromagnetic, acoustic, or elastic space instead of laboratory space. This allows one to manipulate wave behaviors with various exotic characteristics such as (but not limited to) invisibility cloaks. This book is a collection of works by leading international experts in the fields of electromagnetics, plasmonics, elastodynamics, and diffusion waves. The experimental and theoretical contributions will revolutionize ways to control the propagation of sound, light, and other waves in macroscopic and microscopic scales. The potential applications range from underwater camouflaging and electromagnetic invisibility to enhanced biosensors and protection from harmful physical waves (e.g., tsunamis and earthquakes). This is the first book that deals with transformation physics for all kinds of waves in one volume, covering the newest results from emerging topical subjects such as transformational plasmonics and thermodynamics.

Optical Remote Sensing of Ocean Hydrodynamics

Optical Remote Sensing of Ocean Hydrodynamics
Author: Victor Raizer
Publsiher: CRC Press
Total Pages: 280
Release: 2019-03-04
ISBN 10: 1351119168
ISBN 13: 9781351119160
Language: EN, FR, DE, ES & NL

Optical Remote Sensing of Ocean Hydrodynamics Book Review:

Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Chaos Information Processing and Paradoxical Games

Chaos  Information Processing and Paradoxical Games
Author: Gregoire Nicolis,Vasileios Basios
Publsiher: World Scientific
Total Pages: 476
Release: 2014-12-30
ISBN 10: 9814602140
ISBN 13: 9789814602143
Language: EN, FR, DE, ES & NL

Chaos Information Processing and Paradoxical Games Book Review:

This volume provides a self-contained survey of the mechanisms presiding information processing and communication. The main thesis is that chaos and complexity are the basic ingredients allowing systems composed of interesting subunits to generate and process information and communicate in a meaningful way. Emphasis is placed on communication in the form of games and on the related issue of decision making under conditions of uncertainty. Biological, cognitive, physical, engineering and societal systems are approached from a unifying point of view, both analytically and by numerical simulation, using the methods of nonlinear dynamics and probability theory. Epistemological issues in connection with incompleteness and self-reference are also addressed. Contents:Glimpses at Nonlinear Dynamics & Chaos:Bohmian Trajectories in the Scattering Problem (G Contopoulos, N Delis and C Efthymiopoulos)Scaling Properties of the Lorenz System and Dissipative Nambu Mechanics (Minos Axenides and Emmanuel Floratos)Extreme Events in Nonlinear Lattices (G P Tsironis, N Lazarides, A Maluckov and Lj Hadžievski)Coarse Graining Approach to Chaos (Donal MacKernan)Fractal Parameter Space of Lorenz-like Attractors: A Hierarchical Approach (Tingli Xing, Jeremy Wojcik, Michael A Zaks and Andrey Shilnikov)Chaos and Information:Quantum Theory of Jaynes' Principle, Bayes' Theorem, and Information (Hermann Haken)Information Processing with Page–Wootters States (Stam Nicolis)Stochastic Resonance and Information Processing (C Nicolis)Selforganization of Symbols and Information (Werner Ebeling and Rainer Feistel)Biological Information Processing:Historical Contingency in Controlled Evolution (Peter Schuster)Long-Range Order and Fractality in the Structure and Organization of Eukaryotic Genomes (Dimitris Polychronopoulos, Giannis Tsiagkas, Labrini Athanasopoulou, Diamantis Sellis and Yannis Almirantis)Towards Resolving the Enigma of HOX Gene Collinearity (Spyros Papageorgiou)Complexity, Chaos & Cognition:Thermodynamics of Cerebral Cortex Assayed by Measures of Mass Action (Walter J Freeman)Describing the Neuron Axons Network of the Human Brain by Continuous Flow Models (J Hizanidis, P Katsaloulis, D A Verganelakis and A Provata)Cognition and Language: From Apprehension to Judgment — Quantum Conjectures (F T Arecchi)Dynamical Systems++ for a Theory of Biological System (Kunihiko Kaneko)Logic Dynamics for Deductive Inference — Its Stability and Neural Basis (Ichiro Tsuda)Dynamical Games and Collective Behaviours:Microscopic Approach to Species Coexistence Based on Evolutionary Game Dynamics (Celso Grebogi, Ying-Cheng Lai and Wen-Xu Wang)Phase Transitions in Models of Bird Flocking (H Christodoulidi, K van der Weele, Ch G Antonopoulos and T Bountis)Animal Construction as a Free Boundary Problem: Evidence of Fractal Scaling Laws (S C Nicolis)Extended Self Organised Criticality in Asynchronously Tuned Cellular Automata (Yukio-Pegio Gunji)Epilogue:A Posthumous Dialogue with John Nicolis: IERU (Otto E Rössler)Appendix:Selected References from John Nicolis' Bibliography Readership: Graduate students, researchers, and academics from various fields interested in chaos, information processing and complexity science. Key Features:Highlights the universality, relevance and interdisciplinary dimension of chaos and complexityBrings together topics and issues that have so far been addressed independently of each other and establishes unexpected connectionsProvides complementary coverage of problems of concern as viewed by different well-established expertsKeywords:Nonlinear Dynamics;Chaos;Self-Organization;Emergence;Probability and Information;Predictability;Non-Equilibrium Systems;Irreversibility;Systems Biology

Solitons and the Inverse Scattering Transform

Solitons and the Inverse Scattering Transform
Author: Mark J. Ablowitz,Harvey Segur
Publsiher: SIAM
Total Pages: 425
Release: 2006-05-15
ISBN 10: 089871477X
ISBN 13: 9780898714777
Language: EN, FR, DE, ES & NL

Solitons and the Inverse Scattering Transform Book Review:

A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas. A soliton is a localised pulse-like nonlinear wave that possesses remarkable stability properties. Typically, problems that admit soliton solutions are in the form of evolution equations that describe how some variable or set of variables evolve in time from a given state. The equations may take a variety of forms, for example, PDEs, differential difference equations, partial difference equations, and integrodifferential equations, as well as coupled ODEs of finite order. What is surprising is that, although these problems are nonlinear, the general solution that evolves from almost arbitrary initial data may be obtained without approximation.

Advances in Dynamics Patterns Cognition

Advances in Dynamics  Patterns  Cognition
Author: Igor S. Aranson,Arkady Pikovsky,Nikolai F. Rulkov,Lev S. Tsimring
Publsiher: Springer
Total Pages: 329
Release: 2017-05-02
ISBN 10: 3319536737
ISBN 13: 9783319536736
Language: EN, FR, DE, ES & NL

Advances in Dynamics Patterns Cognition Book Review:

This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.

Waves in Complex Media

Waves in Complex Media
Author: Luca Dal Negro
Publsiher: Unknown
Total Pages: 135
Release: 2021-12-02
ISBN 10: 1009178180
ISBN 13: 9781009178181
Language: EN, FR, DE, ES & NL

Waves in Complex Media Book Review:

A clear and interdisciplinary introduction to the structural and scattering properties of complex photonic media, focusing on deterministic aperiodic structures and their conceptual roots in geometry and number theory. Integrates important results and recent developments into a coherent and physically consistent story, balanced between mathematical designs, scattering and optical theories, and engineering device applications. Includes discussions of emerging device applications in metamaterials and nano-optics technology. Will be of interest to both academia and industry as it develops the underlying physical and mathematical background in partnership with engineering applications, providing a perspective on both fundamental optical sciences and photonic device technology. Emphasizing the comprehension of physical concepts and their engineering implications over the more formal developments, this is an essential introduction to the stimulating and fast-growing field of aperiodic optics and complex photonics. The book is completed by 8 Appendices that can be downloaded from the companion website at www.cambridge.org/9781107037502

Handbook of Applications of Chaos Theory

Handbook of Applications of Chaos Theory
Author: Christos H. Skiadas,Charilaos Skiadas
Publsiher: CRC Press
Total Pages: 934
Release: 2017-12-19
ISBN 10: 1315356546
ISBN 13: 9781315356549
Language: EN, FR, DE, ES & NL

Handbook of Applications of Chaos Theory Book Review:

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Rogue Waves

Rogue Waves
Author: Boling Guo,Lixin Tian,Zhenya Yan,Liming Ling,Yu-Feng Wang
Publsiher: Walter de Gruyter GmbH & Co KG
Total Pages: 211
Release: 2017-06-26
ISBN 10: 3110470578
ISBN 13: 9783110470574
Language: EN, FR, DE, ES & NL

Rogue Waves Book Review:

This book gives an overview of the theoretical research on rogue waves and discusses solutions to rogue wave formation via the Darboux and bilinear transformations, algebro-geometric reduction, and inverse scattering and similarity transformations. Studies on nonlinear optics are included, making the book a comprehensive reference for researchers in applied mathematics, optical physics, geophysics, and ocean engineering. Contents The Research Process for Rogue Waves Construction of Rogue Wave Solution by the Generalized Darboux Transformation Construction of Rogue Wave Solution by Hirota Bilinear Method, Algebro-geometric Approach and Inverse Scattering Method The Rogue Wave Solution and Parameters Managing in Nonautonomous Physical Model