Springer Series in Solid-State Sciences

Solitary Waves in Dispersive Complex Media

Theory, Simulation, Applications

Authors: Belashov, Vasily Y., Vladimirov, Sergey V.

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eBook $149.00
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  • ISBN 978-3-540-26880-2
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Hardcover $249.99
price for USA in USD
  • ISBN 978-3-540-23376-3
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  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
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  • ISBN 978-3-642-06240-7
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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)


Table of contents (6 chapters)

  • Introduction

    Pages 1-16

  • KdV-Class Solitons

    Pages 17-62

  • Generalized KdV Equations. NLS and DNLS Equations

    Pages 63-136

  • Classic Two- and Three-Dimensional KP Models and Their Applications

    Pages 137-173

  • Generalized Two- and Three-Dimensional Models and Their Applications

    Pages 175-274

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-3-540-26880-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.99
price for USA in USD
  • ISBN 978-3-540-23376-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-3-642-06240-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Solitary Waves in Dispersive Complex Media
Book Subtitle
Theory, Simulation, Applications
Authors
Series Title
Springer Series in Solid-State Sciences
Series Volume
149
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-26880-2
DOI
10.1007/b138237
Hardcover ISBN
978-3-540-23376-3
Softcover ISBN
978-3-642-06240-7
Series ISSN
0171-1873
Edition Number
1
Number of Pages
XIV, 294
Topics