Nonlinear Waves in Waveguides: With Stratification |
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Page 19
With Stratification Sergeĭ Borisovich Leble. 2.2 Projection Operators on Subspaces of Waves 2.2.1 Determination of ... Projection Operators on Subspaces of Waves Determination of Wave Type Projection Operators in Geophysical Hydrodynamics.
With Stratification Sergeĭ Borisovich Leble. 2.2 Projection Operators on Subspaces of Waves 2.2.1 Determination of ... Projection Operators on Subspaces of Waves Determination of Wave Type Projection Operators in Geophysical Hydrodynamics.
Page 21
... projection operators p ( a ) can be constructed for them : ( P ( a ) ) 2 p ( a ) , p ( a ) p ( 8 ) = 0 , Σa P ( a ) = I. Examples of such ... Projection Operators on Subspaces of Waves 21 Projection Operators for Poincaré and Rossby Waves.
... projection operators p ( a ) can be constructed for them : ( P ( a ) ) 2 p ( a ) , p ( a ) p ( 8 ) = 0 , Σa P ( a ) = I. Examples of such ... Projection Operators on Subspaces of Waves 21 Projection Operators for Poincaré and Rossby Waves.
Page 23
... projection operators to the subspaces of ( 2.40 ) with definite values a ; and b ;. By calculation we state that if p ( i ) = Cava α ; Bi Yi Ai Yi bili α ; α ; α ; β ... projection of ( 2.38 ) Projection Operators on Subspaces of Waves 23.
... projection operators to the subspaces of ( 2.40 ) with definite values a ; and b ;. By calculation we state that if p ( i ) = Cava α ; Bi Yi Ai Yi bili α ; α ; α ; β ... projection of ( 2.38 ) Projection Operators on Subspaces of Waves 23.
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