Nonlinear Waves in Waveguides: With Stratification |
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Page 77
... nonlinear dependence of the susceptibility on the electromagnetic field can be found by iterating ( 4.4 ) over the amplitude , as was done for the density matrix in Sect . 3.3 . To do this , one must change nonlinear ... terms adding to ...
... nonlinear dependence of the susceptibility on the electromagnetic field can be found by iterating ( 4.4 ) over the amplitude , as was done for the density matrix in Sect . 3.3 . To do this , one must change nonlinear ... terms adding to ...
Page 131
... nonlinear contributions of M in ( 6.54 ) in the next order perturbation theory gives a value that is much less than the nonlinear terms uTor + wToz . From the expansion in ( 6.57 ) , taking into account all the approximations , we get ...
... nonlinear contributions of M in ( 6.54 ) in the next order perturbation theory gives a value that is much less than the nonlinear terms uTor + wToz . From the expansion in ( 6.57 ) , taking into account all the approximations , we get ...
Page 141
... ( n , p.4 ' ) − ( £ ; + — Xn , p . 9 ) ] ( 66 % ) W ( a3 ) w { s } p , ( A2.3 ) ( A2.4 ) We see that the nonlinearity is of mixed type : Nonlinear Terms for Interacting Modes of Poincaré and Rossby Waves at a Rotating Channel Surface.
... ( n , p.4 ' ) − ( £ ; + — Xn , p . 9 ) ] ( 66 % ) W ( a3 ) w { s } p , ( A2.3 ) ( A2.4 ) We see that the nonlinearity is of mixed type : Nonlinear Terms for Interacting Modes of Poincaré and Rossby Waves at a Rotating Channel Surface.
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