## Nonlinear waves in waveguides: with stratification |

### From inside the book

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Page 10

The Langmuir and ion-acoustic wave interactions are

Zakharov system of equations [1.73] with a new relaxation term due to plasma

inhomo- geneity. The three-wave helico-acoustic interaction is also studied.

Section ...

The Langmuir and ion-acoustic wave interactions are

**considered**to yield theZakharov system of equations [1.73] with a new relaxation term due to plasma

inhomo- geneity. The three-wave helico-acoustic interaction is also studied.

Section ...

Page 26

They

The results of their work were the derivation of the stationary KdV equation for an

isolated mode and the analysis of its simplest solutions. Analogous results for ...

They

**considered**an incompressible fluid with the equation of state given in (2.9).The results of their work were the derivation of the stationary KdV equation for an

isolated mode and the analysis of its simplest solutions. Analogous results for ...

Page 114

The generation of fine structures is

Sects. 6.4,5. 6.1 Description of a Wave-Medium System by the Scales of Motion A

propagating wave in a real nonlinear medium generally disperses, dissipates, ...

The generation of fine structures is

**considered**with the influence of dissipation inSects. 6.4,5. 6.1 Description of a Wave-Medium System by the Scales of Motion A

propagating wave in a real nonlinear medium generally disperses, dissipates, ...

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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