Nonlinear Waves in Waveguides: With Stratification |
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Page 63
... basis functions . Namely , if X → XC1 , Y → YC2 , Z → ZC3 , where C ; are the normalized mode basis functions , then the final form of the model system is [ 3.8 ] Xt + v1Xx = iß1 ZY exp ( −i △ kx ) , Yt + v2Y2 = iß2X Ž exp ( i ...
... basis functions . Namely , if X → XC1 , Y → YC2 , Z → ZC3 , where C ; are the normalized mode basis functions , then the final form of the model system is [ 3.8 ] Xt + v1Xx = iß1 ZY exp ( −i △ kx ) , Yt + v2Y2 = iß2X Ž exp ( i ...
Page 65
... basis functions Za ( z ) that satisfy Z " = -a2 Zα , f Z2dz = h . The basis functions that are constructed in the linear approximation and the boundary conditions ( 3.57 ) are used for generalization to the nonlinear case . The ...
... basis functions Za ( z ) that satisfy Z " = -a2 Zα , f Z2dz = h . The basis functions that are constructed in the linear approximation and the boundary conditions ( 3.57 ) are used for generalization to the nonlinear case . The ...
Page 101
... functions at the exterior and with ± at the interior boundaries . The solution of the standard Dirichlet problem for ... basis functions Zn . Expansion in this basis gives the mode representation for whose coefficients we intend to ...
... functions at the exterior and with ± at the interior boundaries . The solution of the standard Dirichlet problem for ... basis functions Zn . Expansion in this basis gives the mode representation for whose coefficients we intend to ...
Contents
Introduction | 1 |
The Discrimination and Interaction | 12 |
223 | 19 |
Copyright | |
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amplitude approximation atmosphere boundary conditions calculation CKdV coefficients components contribution coordinate denote density density matrix dependence derivation described determined dielectric dimensionless dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects electric field electromagnetic electron evolution equations Fiz.Atm.Okean frequency given hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic waves Ionosphere iteration KdV equation kinetic Langmuir waves 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 SSSR stationary subspaces substitution T₁ temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence vector velocity vertical w₁ wave propagation wave vector waveguide propagation wavelength