Nonlinear Waves in Waveguides: With Stratification |
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Page 26
... acceleration term is neglected , which is equivalent to the approximation of nondispersive mode evolution . The natural background state and the inclusion of viscosity terms allow one to make clear the important features in nonlinear ...
... acceleration term is neglected , which is equivalent to the approximation of nondispersive mode evolution . The natural background state and the inclusion of viscosity terms allow one to make clear the important features in nonlinear ...
Page 27
... acceleration in b3 . After operations leading to ( 2.25,26 ) we get this system with- out terms describing the horizontal dispersion [ derivatives of the fourth order in ( x − t ) ] . Hereafter the spherical coordinates ( r , v , 4 ) ...
... acceleration in b3 . After operations leading to ( 2.25,26 ) we get this system with- out terms describing the horizontal dispersion [ derivatives of the fourth order in ( x − t ) ] . Hereafter the spherical coordinates ( r , v , 4 ) ...
Page 105
... acceleration w2 ( w2 - w2 ) - c2 w2 k2 + c2w2k } = 0 , - ( 5.38 ) where w1 = yg / 2c , wg = √√√ — 1g / c are the limiting frequencies of the acoustic and gravitational spectra and c = √gHy is the sound velocity ; y = cp / c ,. The ...
... acceleration w2 ( w2 - w2 ) - c2 w2 k2 + c2w2k } = 0 , - ( 5.38 ) where w1 = yg / 2c , wg = √√√ — 1g / c are the limiting frequencies of the acoustic and gravitational spectra and c = √gHy is the sound velocity ; y = cp / c ,. 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