Solitary waves in dispersive complex media : theory, simulation, applications / V. Yu. Belashov, S.V. Vladimirov.

Format:

Book

Author/Creator:

Belashov, V. I︠U︡. (Vasiliĭ I︠U︡rʹevich)

Contributor:

Vladimirov, Sergey V.

Series:

Springer series in solid-state sciences 0171-1873 ; 149.

Springer series in solid-state sciences, 0171-1873 ; 149

Language:

English

Subjects (All):

Solitons.

Differential equations, Nonlinear.

Physical Description:

xiii, 292 pages : illustrations ; 25 cm.

Place of Publication:

Berlin ; New York : Springer, [2005]

Summary:

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 Schr dinger (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.

Notes:

Includes bibliographical references and index.

ISBN:

3540233768

OCLC:

57541406

Publisher Number:

9783540233763