## Nonlinear waves in waveguides: with stratification |

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Results 1-3 of 75

Page 35

(2.74) Equation (2.74) may be solved by the method of characteristics. The

influence of dissipation [d6 term in (2.72)]. The

will not ...

(2.74) Equation (2.74) may be solved by the method of characteristics. The

**solution**demonstrates that nonlinearity leads to wave overturning despite theinfluence of dissipation [d6 term in (2.72)]. The

**solution**, at sufficiently long time,will not ...

Page 38

Let the iteration in equation (2.79) be carried out as in (2.78) and the iterated

equation have smooth

Then the estimated results derived from perturbation theory, made on the basis of

a ...

Let the iteration in equation (2.79) be carried out as in (2.78) and the iterated

equation have smooth

**solutions**with the condition max|JV®(i,<)| < 1 at f e [0, tri].Then the estimated results derived from perturbation theory, made on the basis of

a ...

Page 39

Let us note that the restriction /?, v < a is related to the condition of the regularity

of the

methods for the KdV equation [2.71]. The definition of /? is then the

dimensionless ...

Let us note that the restriction /?, v < a is related to the condition of the regularity

of the

**solution**. The parameters /? can be determined from inverse scatteringmethods for the KdV equation [2.71]. The definition of /? is then the

dimensionless ...

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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