## Nonlinear waves in waveguides: with stratification |

### From inside the book

Results 1-3 of 37

Page 3

The application of Fourier analysis and

oscillations began with the well-known works of A.Poincare\ N.N.Bogolyubov and

B.G.Galerkin. The generalization of their results was done by Taniuti [1.16-19],

Maslov, ...

The application of Fourier analysis and

**perturbation theory**to nonlinearoscillations began with the well-known works of A.Poincare\ N.N.Bogolyubov and

B.G.Galerkin. The generalization of their results was done by Taniuti [1.16-19],

Maslov, ...

Page 94

The inclusion of mode interaction can be executed by the methods of Sects. 2.4-6

, i.e., by nonsingular

order

The inclusion of mode interaction can be executed by the methods of Sects. 2.4-6

, i.e., by nonsingular

**perturbation theory**. Including these effects within the firstorder

**perturbation theory**allows one to avoid infinite series. In this section we ...Page 125

Thus, at small amplitudes one can use

follows directly from the explicit form of the dimensionless parameters. One finds

that waves that induce gas velocities of one hundred m/s at the height of the F2

layer ...

Thus, at small amplitudes one can use

**perturbation theory**. The evaluationfollows directly from the explicit form of the dimensionless parameters. One finds

that waves that induce gas velocities of one hundred m/s at the height of the F2

layer ...

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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