Nonlinear Waves in Waveguides: With Stratification |
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Page 116
... dimensionless form by the scheme of Sect . 5.2 . Letting u → ũ = uo + u we get ũtz + Tx − Wtx = ( ũwx + wwz ) x − ( ũũx + wũz ) z , - -- T + T = —T - T , ũ = -L wzdx . ∞ - ( 6.1 ) ( 6.2 ) The flux as a dynamic object is defined by ...
... dimensionless form by the scheme of Sect . 5.2 . Letting u → ũ = uo + u we get ũtz + Tx − Wtx = ( ũwx + wwz ) x − ( ũũx + wũz ) z , - -- T + T = —T - T , ũ = -L wzdx . ∞ - ( 6.1 ) ( 6.2 ) The flux as a dynamic object is defined by ...
Page 124
... dimensionless form . The transformation accounts for the main exponential part of the dynamics . The new coordinates and time are dimensionless too : 2 z ' = -2μ - 1H exp ( - t ' " 2H = 후 2 fdz ' + μ 2Do n = n'exp ( -21 ) U = f ( x , t ) ...
... dimensionless form . The transformation accounts for the main exponential part of the dynamics . The new coordinates and time are dimensionless too : 2 z ' = -2μ - 1H exp ( - t ' " 2H = 후 2 fdz ' + μ 2Do n = n'exp ( -21 ) U = f ( x , t ) ...
Page 128
... dimensionless dissipation parameter may be rather small for internal waves . If a wave is defined by a wavenumber k and a frequency w then the parameter is ε = кk2 / w . If the wavenumber k changes between 1 and 10-3 and w ~ 10-1-10-3 s ...
... dimensionless dissipation parameter may be rather small for internal waves . If a wave is defined by a wavenumber k and a frequency w then the parameter is ε = кk2 / w . If the wavenumber k changes between 1 and 10-3 and w ~ 10-1-10-3 s ...
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