## Nonlinear waves in waveguides: with stratification |

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Page 33

We list here the explicit expressions for the dispersion and

Mn =^(l-c2n/7) ^n =cnkn ,2 2x _ 5-6.57-6(37 + 2)AŁ KUn^nln'- ft-(7-l)(37-2)/2

where fin= 4/(4** +1), 77„ = (-l)neA/2 - 1 , A„= 4/(364 + 1). The

are ...

We list here the explicit expressions for the dispersion and

**nonlinear constants**:Mn =^(l-c2n/7) ^n =cnkn ,2 2x _ 5-6.57-6(37 + 2)AŁ KUn^nln'- ft-(7-l)(37-2)/2

where fin= 4/(4** +1), 77„ = (-l)neA/2 - 1 , A„= 4/(364 + 1). The

**nonlinear constants**are ...

Page 48

The values of the

exchanged between the resonance modes. Unlike the internal waves interaction

(their

The values of the

**nonlinear constants**allow one to estimate the amount of energyexchanged between the resonance modes. Unlike the internal waves interaction

(their

**nonlinear constants**decrease with the mode number, see Table 2.1), the ...Page 63

One can choose the structure of the wave trains so that the nonlinear resonance

condition distinguishes a three-wave system. The spin 3/2 case and the

calculation of the

Malaschenko ...

One can choose the structure of the wave trains so that the nonlinear resonance

condition distinguishes a three-wave system. The spin 3/2 case and the

calculation of the

**nonlinear constants**were elaborated in the thesis of V.Malaschenko ...

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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