Nonlinear Waves in Waveguides: With Stratification |
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Page 23
... substitution & = exp ( \ t ) 4 , gives the dispersion relation that corresponds to ( 2.33 ) with λ = -io . The relationship between the vector components T A { μ ,, 0 } satisfying an equation of the same type as ( 2.29 ) Pt + L ( ik ) ...
... substitution & = exp ( \ t ) 4 , gives the dispersion relation that corresponds to ( 2.33 ) with λ = -io . The relationship between the vector components T A { μ ,, 0 } satisfying an equation of the same type as ( 2.29 ) Pt + L ( ik ) ...
Page 62
... substitution of M ( 2 ) = Nμ ( 2 ) into ( 3.5 ) and of the expressions for the magnetic field components into the ... substitutions in the nonlinear terms in which ( 3.51 ) is taken into account . ( See also Appendix 4 , where the ...
... substitution of M ( 2 ) = Nμ ( 2 ) into ( 3.5 ) and of the expressions for the magnetic field components into the ... substitutions in the nonlinear terms in which ( 3.51 ) is taken into account . ( See also Appendix 4 , where the ...
Page 124
... substitution relies on the simplification of the boundary conditions and the exclusion of the time dependence from the coefficients by differentiating as well as on a transition to a dimensionless form . The transformation accounts for ...
... substitution relies on the simplification of the boundary conditions and the exclusion of the time dependence from the coefficients by differentiating as well as on a transition to a dimensionless form . The transformation accounts for ...
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