## Nonlinear Waves in Waveguides: with StratificationS.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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### Contents

Introduction | 1 |

Stratified Medium | 12 |

Interaction of Modes in an Electromagnetic Field Waveguide | 50 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

allows amplitude appear approach approximation assume atmosphere basis boundary conditions calculation coefficients components considered constants contains contribution coordinate corresponding decrease denote density dependence derivation described determined direction discussed dispersion dispersion relation dissipation disturbance dynamical effects electromagnetic energy equal equations example existence expression field flow follows formulas frequency functions given gives height hydrodynamical important includes increase inhomogeneity initial conditions integration interaction internal waves introduce Langmuir layer leads linear matrix medium method mode neglect nonlinear Nonlinear Waves obtained ocean operator parameters periods perturbation theory physical plasma possible problem projection operators propagation range region relation resonance restricted Rossby scale Sect separation shown side small parameters soliton solution structure studied substitution surface taken taking into account temperature theory transformed turbulence upper valid values variables vector velocity vertical waveguide write