## Nonlinear waves in waveguides: with stratification |

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Page 8

This new system is approximately reduced to single equations in Sect. 2.4 and

Appendix 1. These equations for special wave types with latitude dependent

coefficients are necessary for the mode basis definition and further

This new system is approximately reduced to single equations in Sect. 2.4 and

Appendix 1. These equations for special wave types with latitude dependent

coefficients are necessary for the mode basis definition and further

**approximations**.Page 28

The appearance of resonances usually occurs in the zero and first

resonances occur in the increase of first order corrections with time while linear

ones occur due to ...

The appearance of resonances usually occurs in the zero and first

**approximations**, that is, linearization relative to the background. Nonlinearresonances occur in the increase of first order corrections with time while linear

ones occur due to ...

Page 107

The criterion for the validity of the hydrodynamic

smallness of the Knudsen number, Kn < 1, or the smallness of the ratio of the

process frequency to the collision frequency. Violation of these conditions

requires the ...

The criterion for the validity of the hydrodynamic

**approximation**is usually thesmallness of the Knudsen number, Kn < 1, or the smallness of the ratio of the

process frequency to the collision frequency. Violation of these conditions

requires the ...

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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