© 1991

Nonlinear Waves in Waveguides

with Stratification


Part of the Research Reports in Physics book series (RESREPORTS)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Sergei B. Leble
    Pages 1-11
  3. Sergei B. Leble
    Pages 69-92
  4. Back Matter
    Pages 139-163

About this book


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.


Nichtlineare Dynamik Nichtlineare Evolutionsgleichungen Nonlinear Dynamics Nonlinear Evolution Equations Solitonen Solitons Stratified media Wave Waveguides Wellenleiter stability wave equation

Authors and affiliations

  1. 1.Department of Theoretical PhysicsKaliningrad State UniversityKaliningradUSSR

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