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Solitary Waves in Dispersive Complex Media

Theory, Simulation, Applications

  • Book
  • © 2005

Overview

Authors:
  1. Vasily Yu. Belashov

    1. KSPEU, Kazan, Russia

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    You can also search for this author in PubMed   Google Scholar

  2. Sergey V. Vladimirov

    1. School of Physics, University of Sydney, Australia

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    You can also search for this author in PubMed   Google Scholar

  • Addresses a fascinating and rapidly developing aspect of nonlinear dynamics
  • Authors are foremost experts in the field
  • Useful as a reference work for graduate students
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series in Solid-State Sciences (SSSOL, volume 149)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Introduction

    Pages 1-16

  3. KdV-Class Solitons

    Pages 17-62

  4. Generalized KdV Equations. NLS and DNLS Equations

    Pages 63-136

  5. Classic Two- and Three-Dimensional KP Models and Their Applications

    Pages 137-173

  6. Generalized Two- and Three-Dimensional Models and Their Applications

    Pages 175-274

  7. Appendices

    Pages 275-278

  8. Back Matter

    Pages 279-294
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Keywords

About this book

This book is devoted to one of the most interesting and rapidly developing areas of modern nonlinear physics and mathematics - the theoretical, analytical and advanced numerical, study of the structure and dynamics of one-dimensional as well as two- and three-dimensional solitons and nonlinear waves described by Korteweg-de Vries (KdV), Kadomtsev-Petviashvili (KP), nonlinear Schrödinger (NLS) and derivative NLS (DNLS) classes of equations. Special attention is paid to generalizations (relevant to various complex physical media) of these equations, accounting for higher-order dispersion corrections, influence of dissipation, instabilities, and stochastic fluctuations of the wave fields. The book addresses researchers working in the theory and numerical simulations of dispersive complex media in such fields as hydrodynamics, plasma physics, and aerodynamics. It will also be useful as a reference work for graduate students in physics and mathematics.

Reviews

From the reviews:

"The book is devoted to one of the most interesting and rapidly developing areas of modern non-linear physics and mathematics … . The book addresses researchers working in the theory and numerical simulations of dispersive complex media in such fields as hydrodynamics, plasma physics, and aerodynamics. It will also be useful as a reference work for graduate students in physics and mathematics." (Gai Bieng Zheng, Zentralblatt MATH, Vol. 1087, 2006)

"This book is concerned with the theoretical and numerical study of solitons and nonlinear wave packets … . The authors present a unified approach to the theory, numerical approximation and applications of solitary wave solutions. Since it collects together many and diverse results in one of the most interesting and rapidly growing areas of modern nonlinear physics … this monograph will prove very useful to researchers working in hydrodynamics, plasma physics, aerodynamics and in applied mathematics." (Mihai Maris, Mathematical Reviews, Issue 2007 a)

Authors and Affiliations

  • KSPEU, Kazan, Russia

    Vasily Yu. Belashov

  • School of Physics, University of Sydney, Australia

    Sergey V. Vladimirov

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