Nonlinear Waves in Waveguides: With Stratification |
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Page 35
... solution , at sufficiently long time , will not have any physical sense . The correct solution can be found as a piecewise regular function , as is the case in shock wave theory [ 2.68 ] . For the piecewise smooth generalized solutions ...
... solution , at sufficiently long time , will not have any physical sense . The correct solution can be found as a piecewise regular function , as is the case in shock wave theory [ 2.68 ] . For the piecewise smooth generalized solutions ...
Page 38
... solution of On + con + oNn ( 1 ) ( 8 ) = o2Ñn ( 2 ) + ...... . differs from the solution of the equation with a zero right - hand side by a value that does not exceed σ . In Sect . 2.6 we consider an example of such a second iteration ...
... solution of On + con + oNn ( 1 ) ( 8 ) = o2Ñn ( 2 ) + ...... . differs from the solution of the equation with a zero right - hand side by a value that does not exceed σ . In Sect . 2.6 we consider an example of such a second iteration ...
Page 39
... solutions for CKdV . However , in this case in ( 2.84 ) the mode velocity difference cncm must replace c . Thus the solutions must be stable . In contrast to the approach of [ 2.72 ] we suggest finding a solution not as a row , but as a ...
... solutions for CKdV . However , in this case in ( 2.84 ) the mode velocity difference cncm must replace c . Thus the solutions must be stable . In contrast to the approach of [ 2.72 ] we suggest finding a solution not as a row , but as a ...
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