## Nonlinear waves in waveguides: with stratification |

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Page 116

If for the long wave range of internal waves the known basis Z"(z) is defined by (

5.22) and the zero boundary conditions at z = 0, H , then for a

and a constant Vasala frequency N we have Z"(z) = y/isinnvz , where v = 1,2,.

If for the long wave range of internal waves the known basis Z"(z) is defined by (

5.22) and the zero boundary conditions at z = 0, H , then for a

**dimensionless**zand a constant Vasala frequency N we have Z"(z) = y/isinnvz , where v = 1,2,.

Page 125

(6.33) In reality, the exponent in the argument is near zero and A' should be

chosen from experimental data. The functions of the wave field are now

concentrated in the potential function W. Let us write / in

introduce an ...

(6.33) In reality, the exponent in the argument is near zero and A' should be

chosen from experimental data. The functions of the wave field are now

concentrated in the potential function W. Let us write / in

**dimensionless**form andintroduce an ...

Page 128

Dashed and dash-dot lines - unperturbed daytime variations compared with

molecular ones, the

internal waves. If a wave is defined by a wavenumber k and a frequency w then

the ...

Dashed and dash-dot lines - unperturbed daytime variations compared with

molecular ones, the

**dimensionless**dissipation parameter may be rather small forinternal waves. If a wave is defined by a wavenumber k and a frequency w then

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