Nonlinear Waves in Waveguides: With Stratification |
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Page 50
... matrix ( Sect . 3.3 ) . The boundary conditions in metal or dielectric waveg- uides leads to the physically possible finite - mode case . The nonlocal dispersion operator may appear due to boundary matching of solutions for dielectric ...
... matrix ( Sect . 3.3 ) . The boundary conditions in metal or dielectric waveg- uides leads to the physically possible finite - mode case . The nonlocal dispersion operator may appear due to boundary matching of solutions for dielectric ...
Page 59
... Matrices ( A | Ik | X ' ) in the basis ( 3.40 ) have the form I1 = 0 0 1 000 2 0 0 0 I2 = 0 0 -i 0 i 0 13 = 0 1 0 100 0 0 0 ... matrix elements to equilibrium ele- ments : ( 0 ) ¿ ss = [ V , e Three - Wave Interaction of Magnetic Modes 59.
... Matrices ( A | Ik | X ' ) in the basis ( 3.40 ) have the form I1 = 0 0 1 000 2 0 0 0 I2 = 0 0 -i 0 i 0 13 = 0 1 0 100 0 0 0 ... matrix elements to equilibrium ele- ments : ( 0 ) ¿ ss = [ V , e Three - Wave Interaction of Magnetic Modes 59.
Page 145
... matrix have to be constructed in this basis . In this case it is necessary to diagonalize the operator H only in the ... matrices Ik is derived by operating on ( A4.6 ) . If we denote ε = yHo / 2B , then I3 = ( 이 اه -μ2 -2μμ2 0 0 0 ...
... matrix have to be constructed in this basis . In this case it is necessary to diagonalize the operator H only in the ... matrices Ik is derived by operating on ( A4.6 ) . If we denote ε = yHo / 2B , then I3 = ( 이 اه -μ2 -2μμ2 0 0 0 ...
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