## Nonlinear waves in waveguides: with stratification |

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Page 4

Independently, Dodd and Fordy found an L-A pair for the Hirota-Satsuma

equations [1.36]. The methods of nonlinear

waveguide systems, are presented in [1.4]. The material in this volume is similar

to the first ...

Independently, Dodd and Fordy found an L-A pair for the Hirota-Satsuma

equations [1.36]. The methods of nonlinear

**evolution equations**, includingwaveguide systems, are presented in [1.4]. The material in this volume is similar

to the first ...

Page 7

The theory of nonlocal equations led to algebraic solitons [1.51]. The theory of

algebraic and algebro-geometric integration was developed for nonlocal

dispersion in [1.54]. The soliton solutions of single mode

generally ...

The theory of nonlocal equations led to algebraic solitons [1.51]. The theory of

algebraic and algebro-geometric integration was developed for nonlocal

dispersion in [1.54]. The soliton solutions of single mode

**evolution equations**aregenerally ...

Page 93

The interest in these waves is connected with governing nonlocal

and Joseph equations, which are integrable. These equations are generalized

for the ...

The interest in these waves is connected with governing nonlocal

**evolution****equations**. The well- known examples of such equations are the Benjamin-Onoand Joseph equations, which are integrable. These equations are generalized

for the ...

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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