Nonlinear Waves in Waveguides: With Stratification |
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Page 74
... region kʊt ; « w « kvт .. In the case of weak damping the dispersion equation ( 4.2 ) can be simplified by means of the asymptotic representation for J in the interval | x | < 1 for the electron contribution J + ( x ) = -ixe - x2 / 2 ...
... region kʊt ; « w « kvт .. In the case of weak damping the dispersion equation ( 4.2 ) can be simplified by means of the asymptotic representation for J in the interval | x | < 1 for the electron contribution J + ( x ) = -ixe - x2 / 2 ...
Page 86
... region is restricted along the w axis ( w ~ wo is the frequency of the excitation field ) . Therefore it is required that the amplitude of a sound wave that is propagated into the region of turbulence decreases st ( w ≫ wo , S2 ) → 0 ...
... region is restricted along the w axis ( w ~ wo is the frequency of the excitation field ) . Therefore it is required that the amplitude of a sound wave that is propagated into the region of turbulence decreases st ( w ≫ wo , S2 ) → 0 ...
Page 105
... region where these assumptions are valid , with constant parameters H = H12 . We assume that the temperature which is proportional to H in the upper layer is higher than in the lower layer . Examples of such a situation are the ...
... region where these assumptions are valid , with constant parameters H = H12 . We assume that the temperature which is proportional to H in the upper layer is higher than in the lower layer . Examples of such a situation are the ...
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