## Nonlinear waves in waveguides: with stratification |

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Page 29

(2.58) The constant C\ appears after integrating the

2.20) in the linear approximation, and is determined by the boundary conditions.

The functions C/2,3 coincide with the initial values of the horizontal velocity ...

(2.58) The constant C\ appears after integrating the

**vertical**component equation (2.20) in the linear approximation, and is determined by the boundary conditions.

The functions C/2,3 coincide with the initial values of the horizontal velocity ...

Page 120

In the viscosity and thermoconductivity terms we retain only the

derivatives: we assume that the

horizontal ones. The transfer coefficients 77, k in real media may vary by several

orders of ...

In the viscosity and thermoconductivity terms we retain only the

**vertical**derivatives: we assume that the

**vertical**scales are much smaller than thehorizontal ones. The transfer coefficients 77, k in real media may vary by several

orders of ...

Page 133

value of the

energy exchange between modes through thermoconductivity and viscosity and

allows one to estimate the magnitude of the

value of the

**vertical**scale fc~J = e\ . It is this scale that determines the degree ofenergy exchange between modes through thermoconductivity and viscosity and

allows one to estimate the magnitude of the

**vertical**derivatives of the mean field.### 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