Nonlinear Waves in Waveguides: With Stratification |
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Page 44
... Stationary Solutions of CKdV Let us consider the existence of stationary solutions of the general CKdV with n = 2. Choosing 1 = U ( x − čt ) , 02 = V ( x -čt ) we introduce the designations P11 = b , P12 = d , P22 = ß , 021 = ~ , 021 Φ ...
... Stationary Solutions of CKdV Let us consider the existence of stationary solutions of the general CKdV with n = 2. Choosing 1 = U ( x − čt ) , 02 = V ( x -čt ) we introduce the designations P11 = b , P12 = d , P22 = ß , 021 = ~ , 021 Φ ...
Page 45
... stationary solution ( 2.98 ) exists with = ± 1 , č = 2c / 3 . شمرد = - The stationary solution of the general CKDV of the form = U + λ ; exists just as in the KdV theory . The propagation velocities are parameterized by λ ;. In ...
... stationary solution ( 2.98 ) exists with = ± 1 , č = 2c / 3 . شمرد = - The stationary solution of the general CKDV of the form = U + λ ; exists just as in the KdV theory . The propagation velocities are parameterized by λ ;. In ...
Page 126
... stationary state V ( 0 , z ' ) does not belong to the spectrum and should satisfy the conditions ( 6.31,32 ) . The complete solution is therefore represented by a sum of the stationary state V ( 0 , z ' ) , the homogeneous equation with ...
... stationary state V ( 0 , z ' ) does not belong to the spectrum and should satisfy the conditions ( 6.31,32 ) . The complete solution is therefore represented by a sum of the stationary state V ( 0 , z ' ) , the homogeneous equation with ...
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