Nonlinear Waves in Waveguides

1. Front Matter

   Pages I-IX

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2. Introduction

   • Sergei B. Leble

   Pages 1-11

3. The Discrimination and Interaction of Hydrodynamical Waves of Different Types

   • Sergei B. Leble

   Pages 12-49

4. Interaction of Modes in an Electromagnetic Field Waveguide

   • Sergei B. Leble

   Pages 50-68

5. Nonlinear Waves in Stratified Plasma

   • Sergei B. Leble

   Pages 69-92

6. Evolution Equations for Internal Waves in Media with Strongly Inhomogeneous Stratification

   • Sergei B. Leble

   Pages 93-113

7. Mean Field Generation by Waves in a Dissipative Medium

   • Sergei B. Leble

   Pages 114-137

8. Back Matter

   Pages 139-163

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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

• Department of Theoretical Physics, Kaliningrad State University, Kaliningrad, USSR

  Sergei B. Leble

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