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Solitary Waves in Dispersive Complex Media

Theory · Simulation · Applications

  • Vasily Yu. Belashov
  • Sergey V. Vladimirov

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

Table of contents

About this book

Introduction

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.

Keywords

Computational methods Dispersive complex media Helium-Atom-Streuung Nonlinear waves Soliton Solitons plasma physics simulation

Authors and affiliations

  • Vasily Yu. Belashov
    • 1
  • Sergey V. Vladimirov
    • 2
  1. 1.KSPEUKazanRussia
  2. 2.School of PhysicsUniversity of SydneyAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/b138237
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-23376-3
  • Online ISBN 978-3-540-26880-2
  • Series Print ISSN 0171-1873
  • Buy this book on publisher's site
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