## Nonlinear waves in waveguides: with stratification |

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Page 79

LO2 -uLtu + 2kcg 2 One should remember that here w is the carrier frequency of

the

equation for the amplitude function of the

LO2 -uLtu + 2kcg 2 One should remember that here w is the carrier frequency of

the

**Langmuir wave**train w «s u^0 . In the same manner the nonlinear term in theequation for the amplitude function of the

**Langmuir wave**can be derived.Page 86

Therefore for the solution of the system it is natural to use a splitting method, first

integrating the expression for the

wave and iterating further. The boundary condition for the system is chosen so

that ...

Therefore for the solution of the system it is natural to use a splitting method, first

integrating the expression for the

**Langmuir waves**and then finding the soundwave and iterating further. The boundary condition for the system is chosen so

that ...

Page 162

Long waves 2,17,25,112,115-117,132,142 Longitudinal coordinates 1,7,34

Lyapunov stability 79 Magnetic ... 10,84 Langmuir collapse 84 Langmuir

frequency 72, 80 Langmuir turbulence (equations) 7, 69, 87

69, 74-79, ...

Long waves 2,17,25,112,115-117,132,142 Longitudinal coordinates 1,7,34

Lyapunov stability 79 Magnetic ... 10,84 Langmuir collapse 84 Langmuir

frequency 72, 80 Langmuir turbulence (equations) 7, 69, 87

**Langmuir wave**10,69, 74-79, ...

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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