## Nonlinear waves in waveguides: with stratification |

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Page v

The basic element of this

nonlinear evolution system (NES), i.e., the simplification of the fundamental

physical equations. The procedure entails the expansion in powers of small

parameters ...

The basic element of this

**method**is the formalization of the derivation of thenonlinear evolution system (NES), i.e., the simplification of the fundamental

physical equations. The procedure entails the expansion in powers of small

parameters ...

Page 4

2.6) and Wahlquist-Estabrook

shown that there exist two-mode systems generalizing the Hirota-Satsuma

equation that have a Lax pair. Independently, Dodd and Fordy found an L-A pair

for ...

2.6) and Wahlquist-Estabrook

**methods**[Kshevetsky and Leble, unpublished]. It isshown that there exist two-mode systems generalizing the Hirota-Satsuma

equation that have a Lax pair. Independently, Dodd and Fordy found an L-A pair

for ...

Page 37

2.5 The

of the Coupled Korteweg-de Vries Equations The equation structure and the

choice of initial conditions which determine the nonlinearity, dispersion and ...

2.5 The

**Method**of Successive Approximations. Solution for the Cauchy Problemof the Coupled Korteweg-de Vries Equations The equation structure and the

choice of initial conditions which determine the nonlinearity, dispersion and ...

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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