## Nonlinear waves in waveguides: with stratification |

### From inside the book

Results 1-3 of 47

Page 3

Separating the propagation medium into regions of varying stratification scales

improves the convergence of the expansions and

representation for the quasi-waveguide propagation solutions. The application of

...

Separating the propagation medium into regions of varying stratification scales

improves the convergence of the expansions and

**allows**one to get a compactrepresentation for the quasi-waveguide propagation solutions. The application of

...

Page 45

Therefore, we aim at the development of a nonsingular perturbation theory

approach that

intervals in which the general CKdV is valid (Sect. 2.5). We note also that the

attraction of ...

Therefore, we aim at the development of a nonsingular perturbation theory

approach that

**allows**one to get results within a given accuracy in the timeintervals in which the general CKdV is valid (Sect. 2.5). We note also that the

attraction of ...

Page 80

The integration of the equations of motion of the charged particle in an

electromagnetic and any additional (e.g., gravitational) field

particles velocity that determines a displacement current density j. The obtained

mass ...

The integration of the equations of motion of the charged particle in an

electromagnetic and any additional (e.g., gravitational) field

**allows**one to find theparticles velocity that determines a displacement current density j. The obtained

mass ...

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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