## Nonlinear waves in waveguides: with stratification |

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Page 3

If otherwise, due to significant inhomogeneity in the stratification in z a

interval, the boundaries are conventional. This leads to a change in the

dispersion ...

If otherwise, due to significant inhomogeneity in the stratification in z a

**quasi**-**waveguide**is formed and the waves are captured in any transverse coordinateinterval, the boundaries are conventional. This leads to a change in the

dispersion ...

Page 10

By the theorems given in [1.28] the Darboux transform which generalizes the

Matveev results [1.76] is chosen. Chapter 5 summarizes the results of this

author's work on

applied to a ...

By the theorems given in [1.28] the Darboux transform which generalizes the

Matveev results [1.76] is chosen. Chapter 5 summarizes the results of this

author's work on

**quasi**-**waveguide**propagation. Here a mode expansion isapplied to a ...

Page 94

We separate this interval into two layers [0, h] and [h, H] and assume that

in some wavelength range. One can imagine three different sets of physical ...

We separate this interval into two layers [0, h] and [h, H] and assume that

**quasi**-**waveguide**propagation occurs in the first layer, i.e., a hyperbolic equation holdsin some wavelength range. One can imagine three different sets of physical ...

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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