## Nonlinear waves in waveguides: with stratification |

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Page 52

We shall write the

dE rotJJ=-— , divif = 0. (3.6) c at An important role in the study of waveguide

propagation is played by boundary conditions. It is well known [3.1,3] that due to

the ...

We shall write the

**linear**Maxwell equations in the form div£ = 0, io\E = -^^-, c at edE rotJJ=-— , divif = 0. (3.6) c at An important role in the study of waveguide

propagation is played by boundary conditions. It is well known [3.1,3] that due to

the ...

Page 64

... propagation is determined by the dimensionless constant s = (ft ft)1/2reFo. If

the pulse duration is rc ~ 10~3s and Y0, Zo ~ 102 - K^A/m then s = 10-2, vc/u sa

10-2 and the soliton velocity is much less than the group velocity of the

wave.

... propagation is determined by the dimensionless constant s = (ft ft)1/2reFo. If

the pulse duration is rc ~ 10~3s and Y0, Zo ~ 102 - K^A/m then s = 10-2, vc/u sa

10-2 and the soliton velocity is much less than the group velocity of the

**linear**wave.

Page 66

The

components. For the solution of the nonlinear dispersion problem the model

evolution equations are used because they are simple to analyze. Internal waves

in ...

The

**linear**dispersion could be described by a superposition of Fouriercomponents. For the solution of the nonlinear dispersion problem the model

evolution equations are used because they are simple to analyze. Internal waves

in ...

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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