Editors: Claire David, Zhaosheng Feng

Solitary Waves in Fluid Media

eBook: US $49 Special Offer (PDF + Printed Copy): US $143
Printed Copy: US $119
Library License: US $196
ISBN: 978-1-60805-702-3 (Print)
ISBN: 978-1-60805-140-3 (Online)
Year of Publication: 2010
DOI: 10.2174/97816080514031100101

Introduction

Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ability to integrate most of the nonlinear wave equations which govern solitary waves, from the Korteweg-de Vries equation to the nonlinear Schrödinger equation, in the 1960's. From that moment, a huge amount of theoretical works can be found on solitary waves. Due to the fact that many physical phenomena can be described by a soliton model, applications have followed each other, in telecommunications first, where the propagation of solitons in fiber optics helps in increasing transmission capacity, thanks to their inherent stability, which make long-distance transmission possible without the use of repeaters.

The aim of this book is to present a state of the art theoretical study of solitary waves. Prominent actual works on solitary waves are described.

Foreword

- Pp. i-ii (2)
Linghai Zhang
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Preface

- Pp. iii-iv (2)
Claire David and Zhaosheng Feng
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List of contributors

- Pp. v
Claire David and Zhaosheng Feng
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Introduction: Classical nonlinear evolution equations and solitary waves

- Pp. 1-7 (7)
Claire David

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Exact analytic solutions of nonlinear evolution equations

- Pp. 8-22 (15)
Claire David

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The panel of resolution methods

- Pp. 23-32 (10)
Claire David

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Asymptotic behavior of solitary waves

- Pp. 33-47 (15)
Claire David and Qingguo Meng

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Some Aspects concerning the Numerical Computation of Solitons

- Pp. 48-60 (13)
Laurent Di Menza

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Attractor and traveling wave solutions for 3D Ginzburg-Landau type equation

- Pp. 61-122 (62)
Shujuan Lu

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The Dynamics of Two Classes of Singular Nonlinear Traveling Wave Equations and Loop Solutions

- Pp. 123-201 (79)
Jibin Li

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The interrelationship of integrable equations, differential geometry and the geometry of their associated surfaces

- Pp. 202-252 (51)
Paul Bracken

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Index

- Pp. 253-255 (3)
Claire David and Zhaosheng Feng
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