Nonlinear Waves in Waveguides: With Stratification |
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Page 3
... Fourier analysis and perturbation theory to nonlinear os- cillations began with the well - known works of A.Poincaré , N.N.Bogolyubov and B.G.Galerkin . The generalization of their results was done by Taniuti [ 1.16-19 ] , Maslov ...
... Fourier analysis and perturbation theory to nonlinear os- cillations began with the well - known works of A.Poincaré , N.N.Bogolyubov and B.G.Galerkin . The generalization of their results was done by Taniuti [ 1.16-19 ] , Maslov ...
Page 95
... Fourier transformation which is equivalent to the substitution w ~ Z ( z ) exp i ( ɛkx – wt ) , L2Zn = λnZn , Zn ( 0 ) = 0 , Z'n ( h ) = Yn ( k ) Zn ( h ) . - ( 5.4 ) ( 5.5 ) The condition ( 5.5 ) appears as a result of the smooth ...
... Fourier transformation which is equivalent to the substitution w ~ Z ( z ) exp i ( ɛkx – wt ) , L2Zn = λnZn , Zn ( 0 ) = 0 , Z'n ( h ) = Yn ( k ) Zn ( h ) . - ( 5.4 ) ( 5.5 ) The condition ( 5.5 ) appears as a result of the smooth ...
Page 101
... Fourier component ( 5.27 ) = Z ( z ) × exp i ( kx – wt ) and find , as is shown in Sect . 5.1 , for smooth matching ... Fourier transformation of a general function . It is important to note that the coefficients that relate the value of ...
... Fourier component ( 5.27 ) = Z ( z ) × exp i ( kx – wt ) and find , as is shown in Sect . 5.1 , for smooth matching ... Fourier transformation of a general function . It is important to note that the coefficients that relate the value of ...
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