## Nonlinear waves in waveguides: with stratification |

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Page v

The basic element of this method is the formalization of the derivation of the

nonlinear evolution system (NES), i.e., the simplification of the fundamental

parameters ...

The basic element of this method is the formalization of the derivation of the

nonlinear evolution system (NES), i.e., the simplification of the fundamental

**physical**equations. The procedure entails the expansion in powers of smallparameters ...

Page 19

There are also various types of plasma waves [2.20]. The complete determination

of a wave type involves defining the system of dynamical variables - the

equipment that gives a full description of the wave. Determination of wave type ...

There are also various types of plasma waves [2.20]. The complete determination

of a wave type involves defining the system of dynamical variables - the

**physical**equipment that gives a full description of the wave. Determination of wave type ...

Page 166

The relationship between the scattering matrix and

transition probabilities, is discussed in detail. Among the emphasized topics are

the stationary formulation of the scattering problem, the inverse scattering

problem, ...

The relationship between the scattering matrix and

**physical**observables, i. e.transition probabilities, is discussed in detail. Among the emphasized topics are

the stationary formulation of the scattering problem, the inverse scattering

problem, ...

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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