## Nonlinear waves in waveguides: with stratification |

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Page 1

Surface

case of waveguide propagation [1.4]. Within this framework, it is possible to

describe the system by choosing one or more coordinates in such a manner that

the ...

Surface

**wave propagation**, however, may be considered as a limiting degeneratecase of waveguide propagation [1.4]. Within this framework, it is possible to

describe the system by choosing one or more coordinates in such a manner that

the ...

Page 7

An important case of waveguide

due to the waveguide dimensions. This is the case for electromagnetic

metal tubes, dielectric layers and fibers (Chap. 2). The broad range of possible ...

An important case of waveguide

**propagation**is when only one mode is possibledue to the waveguide dimensions. This is the case for electromagnetic

**waves**inmetal tubes, dielectric layers and fibers (Chap. 2). The broad range of possible ...

Page 10

The Langmuir and ion-acoustic wave interactions are considered to yield the

Zakharov system of equations [1.73] with a new ... An important direction of the

theory is on

.

The Langmuir and ion-acoustic wave interactions are considered to yield the

Zakharov system of equations [1.73] with a new ... An important direction of the

theory is on

**wave propagation**in media with varying Knudsen number (Kn) [1.77].

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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