## Nonlinear waves in waveguides: with stratification |

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Page 27

Neglecting the dependence of the Coriolis parameter on the latitude we exclude

the Rossby waves. ... The natural

planet radius and the dimensionless angular frequency modulus is Qy/H/g.

Neglecting the dependence of the Coriolis parameter on the latitude we exclude

the Rossby waves. ... The natural

**small parameters**are now a/H where a is theplanet radius and the dimensionless angular frequency modulus is Qy/H/g.

Page 28

This allows one to estimate the functions and their derivatives [2.8,23]. The

relations between dynamical variables in the zero order of the

are u — ▻ au, v — ▻ fivav, w — ▻ <x/?w, T — ▻ aT, 6 —* a6 . In fact this

change of ...

This allows one to estimate the functions and their derivatives [2.8,23]. The

relations between dynamical variables in the zero order of the

**small parameters**are u — ▻ au, v — ▻ fivav, w — ▻ <x/?w, T — ▻ aT, 6 —* a6 . In fact this

change of ...

Page 37

At each step of the procedure some model system with

formed. The solutions of these evolution equations have the property that the

coordinate dependence changes increase due to the small terms at a finite time

and are ...

At each step of the procedure some model system with

**small parameters**isformed. The solutions of these evolution equations have the property that the

coordinate dependence changes increase due to the small terms at a finite time

and are ...

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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