Nonlinear Waves in Waveguides: With Stratification |
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Page 48
... nonlinear constants allow one to estimate the amount of energy exchanged between the resonance modes . Unlike the internal waves interaction ( their nonlinear constants decrease with the mode number , see Table 2.1 ) , the Rossby waves ...
... nonlinear constants allow one to estimate the amount of energy exchanged between the resonance modes . Unlike the internal waves interaction ( their nonlinear constants decrease with the mode number , see Table 2.1 ) , the Rossby waves ...
Page 49
... coefficients ẞ ; are of the same sign one can get a system with unit nonlinear constants by the transformation of scale amplitudes . Then , introducing new variables έ = ( x − vt ) / ( u − v ) , τ = ( x — ut ) ( v — u ) , t S = | Y'2 ...
... coefficients ẞ ; are of the same sign one can get a system with unit nonlinear constants by the transformation of scale amplitudes . Then , introducing new variables έ = ( x − vt ) / ( u − v ) , τ = ( x — ut ) ( v — u ) , t S = | Y'2 ...
Page 63
... nonlinear constants satisfy ẞ1,2 > 0 , ß3 < 0 and the effect of parametric amplifying occurs [ 3.2,7 ] . The expression of the operator V that is given in Appendix 4 ( A4.8 ) shows what influences an increase in the complexity of the ...
... nonlinear constants satisfy ẞ1,2 > 0 , ß3 < 0 and the effect of parametric amplifying occurs [ 3.2,7 ] . The expression of the operator V that is given in Appendix 4 ( A4.8 ) shows what influences an increase in the complexity of 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