## Nonlinear waves in waveguides: with stratification |

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Page 41

where c„ is the velocity of the

interaction is excluded and (2.89) is transformed into the KdV

perturbation of the other modes is described by the expression 6\x, t) = <7<n[0n(z

, 012/[2(c„ ...

where c„ is the velocity of the

**soliton**propagation. When A" — * 0 the modeinteraction is excluded and (2.89) is transformed into the KdV

**soliton**. Theperturbation of the other modes is described by the expression 6\x, t) = <7<n[0n(z

, 012/[2(c„ ...

Page 64

Here vc is the

change of the polarity of a radiofrequency voltage in the Y component during time

T, as in (3.53), and the simultaneous input of a pulse of known width in the field ...

Here vc is the

**soliton**velocity. The structure of the solution of (3.53) is such that achange of the polarity of a radiofrequency voltage in the Y component during time

T, as in (3.53), and the simultaneous input of a pulse of known width in the field ...

Page 91

The behavior of the functions pn, s„ [(4.74) or (4.76)] that describe one-

solutions of (4.61) demonstrate an interesting properity that is absent from other

equations for

...

The behavior of the functions pn, s„ [(4.74) or (4.76)] that describe one-

**soliton**solutions of (4.61) demonstrate an interesting properity that is absent from other

equations for

**solitons**. The values of p„, sn as functions of the discrete variable n...

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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