ENGLISH

Nonlinear Waves in Waveguides: with Stratification

By Professor Dr. Sergei B. Leble (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1991
ISBN
978-3-540-52149-5, 978-3-642-75420-3
DOI
10.1007/978-3-642-75420-3
Language
english
Format
PDF
Filesize
13 MB (14046073 bytes)
Series
Research Reports in Physics
Edition
1
Pages
163\174
Time added
2013-12-12 02:00:00
Dynamical Systems and Complexity;AstronomyMolecularObservations and Techniques;Astrophysics and AstroOptical and Plasma PhysicsStatistical Physics

Description

S.B. Leble's book deals with nonlinear waves and their propagation in metallic and dielectric waveguides and media with stratification. The underlying nonlinear evolution equations (NEEs) are derived giving also their solutions for specific situations. The reader will find new elements to the traditional approach. Various dispersion and relaxation laws for different guides are considered as well as the explicit form of projection operators, NEEs, quasi-solitons and of Darboux transforms. Special points relate to: 1. the development of a universal asymptotic method of deriving NEEs for guide propagation; 2. applications to the cases of stratified liquids, gases, solids and plasmas with various nonlinearities and dispersion laws; 3. connections between the basic problem and soliton- like solutions of the corresponding NEEs; 4. discussion of details of simple solutions in higher- order nonsingular perturbation theory.

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