## Nonlinear waves in waveguides: with stratification |

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Page 7

The soliton solutions of single mode evolution equations are generally a rather

crude approximation in waveguide theory. ... An important case of

dimensions.

The soliton solutions of single mode evolution equations are generally a rather

crude approximation in waveguide theory. ... An important case of

**waveguide****propagation**is when only one mode is possible due to the waveguidedimensions.

Page 52

(3.6) c at An important role in the study of

boundary conditions. It is well known [3.1,3] that due to the equations themselves,

the normal component of the magnetic induction vector B and the tangential ...

(3.6) c at An important role in the study of

**waveguide propagation**is played byboundary conditions. It is well known [3.1,3] that due to the equations themselves,

the normal component of the magnetic induction vector B and the tangential ...

Page 93

5.2,3 for

the growth of the mean free path of particles leads to wave capture and the

formation conditions allowing

Medium ...

5.2,3 for

**waveguides**in the ocean and atmosphere. In Sect. 5.4 it is shown howthe growth of the mean free path of particles leads to wave capture and the

formation conditions allowing

**waveguide**-type**propagation**. 5.1 Waves in aMedium ...

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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