## Nonlinear waves in waveguides: with stratification |

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Page 28

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

relations between

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

change of ...

Page 94

One can imagine three different sets of physical conditions: (1) The description of

both layers is based on a universal set of independent

propagation of internal waves in the oceanic ther- moclyne at all depths.

One can imagine three different sets of physical conditions: (1) The description of

both layers is based on a universal set of independent

**dynamical variables**, as inpropagation of internal waves in the oceanic ther- moclyne at all depths.

Page 109

We list here the linear version of the equations in these variables: St + Vx - W +

Wz = 0 Vt + Sx + Tx = 0 , Wt + Sz + Tz - T ... For the mode representation of ip we

need, as before, the explicit relations between the

...

We list here the linear version of the equations in these variables: St + Vx - W +

Wz = 0 Vt + Sx + Tx = 0 , Wt + Sz + Tz - T ... For the mode representation of ip we

need, as before, the explicit relations between the

**dynamical variables**similar to...

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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