Nonlinear Waves in Waveguides: With Stratification |
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Page vii
... Interaction of Hydrodynamical Waves of Different Types Hydrodynamic Wave Equations in a Three - Dimensional ... Mode Interaction 3.1.2 3.2 3.3 3.4 ... Three - Wave Interaction of Magnetic Modes in an Extended System of Nuclear Spins ...
... Interaction of Hydrodynamical Waves of Different Types Hydrodynamic Wave Equations in a Three - Dimensional ... Mode Interaction 3.1.2 3.2 3.3 3.4 ... Three - Wave Interaction of Magnetic Modes in an Extended System of Nuclear Spins ...
Page 41
... mode interaction is excluded and ( 2.89 ) is transformed into the KdV soliton . The per- turbation of the other modes is described by the expression ( ' ( x , t ) = oğ12 [ 0 ” ( x , t ) ] 2 / [ 2 ( cn — ci ) ] . nn - ( 2.90 ) Equations ...
... mode interaction is excluded and ( 2.89 ) is transformed into the KdV soliton . The per- turbation of the other modes is described by the expression ( ' ( x , t ) = oğ12 [ 0 ” ( x , t ) ] 2 / [ 2 ( cn — ci ) ] . nn - ( 2.90 ) Equations ...
Page 97
... mode interaction in the long wavelength range may be taken into account by iterations in the amplitude σ . It is clear that if nonlinearity exists in the basic equations , it must be ac- counted for along with all dispersion effects at ...
... mode interaction in the long wavelength range may be taken into account by iterations in the amplitude σ . It is clear that if nonlinearity exists in the basic equations , it must be ac- counted for along with all dispersion effects at ...
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