## Nonlinear waves in waveguides: with stratification |

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Page 1

In this book the apparatus of the model

theory of

In this book the apparatus of the model

**nonlinear**evolution equations and thetheory of

**wave**interactions in ... The theoretical description of finite amplitude**wave**dynamics naturally concerns problems in mathematical physics as well as ...Page 4

The analysis of the solution demonstrates the tendency to a self-localization due

to

equations, including waveguide systems, are presented in [1.4]. The material in ...

The analysis of the solution demonstrates the tendency to a self-localization due

to

**wave**mode interaction (Sects. 2.5,6). ... The methods of**nonlinear**evolutionequations, including waveguide systems, are presented in [1.4]. The material in ...

Page 26

However, investigations show that in the case of a small mode number excitation,

the weak nonlinearity, the finite space-time area of interaction, allows one to

construct the effective

is ...

However, investigations show that in the case of a small mode number excitation,

the weak nonlinearity, the finite space-time area of interaction, allows one to

construct the effective

**nonlinear wave**description [2.23-26]. From this example itis ...

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### Contents

Introduction | 1 |

The Discrimination and Interaction | 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 approximation atmosphere atmospheric waveguide atmospheric waves basis functions boundary conditions calculation CKdV coefficients components considered contribution coordinate decrease denote density density matrix dependence derivation described determined dielectric dimensionless dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects evolution equations exponential Fiz.Atm.Okean formulas Fourier given hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic ionospheric iteration Kaliningrad KdV equation kinetic Langmuir waves layer linear long waves magnetic field matrix mean field medium method mode interaction mode number Moscow nonlinear constants nonlinear terms Nonlinear Waves nonlocal ocean oscillations perturbation theory physical plasma waves problem projection operators quasi-waveguide quasisolitons region resonance Rossby waves S.B.Leble S.BXeble scale Sect small parameters soliton solution spectral SSSR stationary stratified subspaces substitution taking into account temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence two-dimensional values velocity vertical wave interaction wave propagation wave vector waveguide propagation wavelength