## Nonlinear waves in waveguides: with stratification |

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Page 7

The solution of the multi-mode

parameters that weakly depend on the coordinates. Knowledge of the behavior of

the solutions of simplified equations allows one to apply the iteration procedure

to the ...

The solution of the multi-mode

**problem**is to look for a soliton form withparameters that weakly depend on the coordinates. Knowledge of the behavior of

the solutions of simplified equations allows one to apply the iteration procedure

to the ...

Page 21

(2.30) The vector J7(i?) is taken at the colatitude do in the neighborhood of which

the

himself that (2.30) coincides with the dispersion relation taken from (2.28).

(2.30) The vector J7(i?) is taken at the colatitude do in the neighborhood of which

the

**problem**of propagation of the system of waves is solved. One can assurehimself that (2.30) coincides with the dispersion relation taken from (2.28).

Page 166

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

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**, ...### What people are saying - Write a review

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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