Nonlinear Waves in Waveguides: With Stratification |
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Page 66
... spectral parameter a is almost constant . This means that the Helmholtz equation can be used in the region of | z❘ > h . We note that the generalization taking into account the variation in a is possible if the Klein - Fock equation is ...
... spectral parameter a is almost constant . This means that the Helmholtz equation can be used in the region of | z❘ > h . We note that the generalization taking into account the variation in a is possible if the Klein - Fock equation is ...
Page 83
... spectral functions . In the approxi- mation that the field amplitude is quadratic the spectral transform of the field equations gives E¡ ( w , k ) = E¦ ( w , k ) – M ̧¡1 dwdk1¤¡j ( 1 ) ; ( 2 ) ( w , k , wi , k1 ) M ;; ' / - × Ɛj ( 1 ) ...
... spectral functions . In the approxi- mation that the field amplitude is quadratic the spectral transform of the field equations gives E¡ ( w , k ) = E¦ ( w , k ) – M ̧¡1 dwdk1¤¡j ( 1 ) ; ( 2 ) ( w , k , wi , k1 ) M ;; ' / - × Ɛj ( 1 ) ...
Page 163
... Spectral densities of acoustic waves 86 Spectral densities of electromagnetic field functions 82 Spectral turbulence Spheroidal functions 89 46 Strongly coupled triad 9 Strongly inhomogeneous stratification 92 Sturm - Liouville problem ...
... Spectral densities of acoustic waves 86 Spectral densities of electromagnetic field functions 82 Spectral turbulence Spheroidal functions 89 46 Strongly coupled triad 9 Strongly inhomogeneous stratification 92 Sturm - Liouville problem ...
Contents
Introduction | 1 |
The Discrimination and Interaction | 12 |
3 | 27 |
Copyright | |
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amplitude approximation atmosphere B₁ boundary conditions calculation CKdV coefficients components contribution coordinate denote density density matrix dependence derivation described determined dielectric dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects electromagnetic electron evolution equations Fiz.Atm.Okean frequency given H₂ hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic waves Ionosphere iteration Kaliningrad KdV equation kinetic Langmuir wave layer linear longitudinal waves magnetic field matrix mean field medium method mode interaction Moscow Nauka nonlinear constants nonlinear terms Nonlinear Waves nonlocal oscillations particles perturbation theory physical plasma waves problem projection operators quasisolitons region resonance Rossby waves S.B.Leble scale Sect small parameters soliton solution spectral subspaces substitution taking into account temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence vector velocity vertical w₁ wave propagation wave vector waveguide propagation wavelength