## Nonlinear waves in waveguides: with stratification |

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Page 43

In that case the

construction for the system (2.84) is also restricted. By trying to consider the

system as the compatibility condition for the two linear equations L<f> = (pd2 + u)

<j> = \<f> ...

In that case the

**matrices**U may be nondiagonal. The possibility of I^-A pairconstruction for the system (2.84) is also restricted. By trying to consider the

system as the compatibility condition for the two linear equations L<f> = (pd2 + u)

<j> = \<f> ...

Page 50

In this chapter, it is shown how the nonlinear constants may be represented and

calculated in terms of a density

metal or dielectric waveguides leads to the physically possible finite-mode case.

In this chapter, it is shown how the nonlinear constants may be represented and

calculated in terms of a density

**matrix**(Sect. 3.3). The boundary conditions inmetal or dielectric waveguides leads to the physically possible finite-mode case.

Page 59

operator and the equilibrium density

processes cause the evolution of the diagonal

elements: and ...

**Matrices**(A|Jfc|A') in the basis (3.40) have the form (3.41) The interactionoperator and the equilibrium density

**matrix**are / 0 Hz Hx ... The relaxationprocesses cause the evolution of the diagonal

**matrix**elements to equilibriumelements: and ...

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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