Nonlinear Waves in Waveguides: With Stratification |
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Page 40
... quasisolitons . 2.6 The Coupled KdV Equations 2.6.1 Quasisolitons of CKdV n = Let us consider some details of the Cauchy problem for the CKdV without damping and with initially only one nonzero mode " Snly . The evolution of the n 1 ...
... quasisolitons . 2.6 The Coupled KdV Equations 2.6.1 Quasisolitons of CKdV n = Let us consider some details of the Cauchy problem for the CKdV without damping and with initially only one nonzero mode " Snly . The evolution of the n 1 ...
Page 41
... quasisolitons ( 2.89,90 ) and an additional perturbation on the order of o / ( ci cn ) . Thus , stability of a real ... quasisolitons in the two - mode case is given . The initial conditions for the modes 01 and 02 are shown by the ...
... quasisolitons ( 2.89,90 ) and an additional perturbation on the order of o / ( ci cn ) . Thus , stability of a real ... quasisolitons in the two - mode case is given . The initial conditions for the modes 01 and 02 are shown by the ...
Page 42
... Quasisoliton dynamics , two - mode waves . ( a , b ) One - mode KdV soliton transition to two - mode quasisoliton . ( c , d ) Initial condition decay to quasisolitons . ( e , f ) Quasisoliton collision . ' is an arbitrary unit 42 12 The ...
... Quasisoliton dynamics , two - mode waves . ( a , b ) One - mode KdV soliton transition to two - mode quasisoliton . ( c , d ) Initial condition decay to quasisolitons . ( e , f ) Quasisoliton collision . ' is an arbitrary unit 42 12 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