## Nonlinear waves in waveguides: with stratification |

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Page 26

However, investigations show that in the case of a small

the weak nonlinearity, the finite space-time area of interaction, allows one to

construct the effective nonlinear wave description [2.23-26]. From this example it

is ...

However, investigations show that in the case of a small

**mode number**excitation,the weak nonlinearity, the finite space-time area of interaction, allows one to

construct the effective nonlinear wave description [2.23-26]. From this example it

is ...

Page 48

The values of the nonlinear constants allow one to estimate the amount of energy

exchanged between the resonance modes. Unlike the internal waves interaction

(their nonlinear constants decrease with the

The values of the nonlinear constants allow one to estimate the amount of energy

exchanged between the resonance modes. Unlike the internal waves interaction

(their nonlinear constants decrease with the

**mode number**, see Table 2.1), the ...Page 65

The

characterzed by the dependence on z that is determined by (3.55) ... (3.57) The

dispersion relation ewoVc2 = a2 + kl (3.58) relates the wave

and wo.

The

**mode**representation that appears when the variables are shared ischaracterzed by the dependence on z that is determined by (3.55) ... (3.57) The

dispersion relation ewoVc2 = a2 + kl (3.58) relates the wave

**number**a with &oand wo.

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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