## Nonlinear waves in waveguides: with stratification |

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Page 10

The equations are a new example of an integrable system and contain

with new properties. By the theorems given in ... Chapter 5 summarizes the

results of this author's work on

expansion ...

The equations are a new example of an integrable system and contain

**solitons**with new properties. By the theorems given in ... Chapter 5 summarizes the

results of this author's work on

**quasi**- waveguide propagation. Here a modeexpansion ...

Page 41

(2.90) Equations (2.88) and (2.90) also determine the multi-

mode perturbations. It is clear that (2.88) can be the basis for the next iteration.

One can be convinced that the ~ a2 approximation acts in the interval ~ [0, <r-2] ...

(2.90) Equations (2.88) and (2.90) also determine the multi-

**soliton quasi**-single-mode perturbations. It is clear that (2.88) can be the basis for the next iteration.

One can be convinced that the ~ a2 approximation acts in the interval ~ [0, <r-2] ...

Page 104

It should be noted that in comparing

form, with parameters of real solitary ... 5.3

Internal Waves in the Atmosphere The structure of the undisturbed or averaged

state ...

It should be noted that in comparing

**soliton**parameters , i.e., their velocities andform, with parameters of real solitary ... 5.3

**Quasi**- Waveguide Propagation ofInternal Waves in the Atmosphere The structure of the undisturbed or averaged

state ...

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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