Nonlinear Waves in Waveguides: With Stratification |
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Page 28
... variables in the zero order of the small parameters are T → u → ou , v → ßvov , w → βνσυ , ω - σβυ , Τ - στ , δ - σδ . -- In fact this change of variables formalizes the assumed initial conditions and the hypothesis of the solution ...
... variables in the zero order of the small parameters are T → u → ou , v → ßvov , w → βνσυ , ω - σβυ , Τ - στ , δ - σδ . -- In fact this change of variables formalizes the assumed initial conditions and the hypothesis of the solution ...
Page 37
... small parameters is formed . The solutions of these evolution equations have the property that the coordinate dependence changes increase due to the small terms at a finite time and are not small . These changes are displayed in the ...
... small parameters is formed . The solutions of these evolution equations have the property that the coordinate dependence changes increase due to the small terms at a finite time and are not small . These changes are displayed in the ...
Page 99
... small parameters ẞ = λz / λx , V = Az / λy . We exclude the functions u , T ' from the small terms and obtain the linear relations as in Sect . 2.4 : " u == - 100 , w , dx , T ' = - Ī , I. [ ' " . wdt . x →→ ( 5.20 ) We suppose that ...
... small parameters ẞ = λz / λx , V = Az / λy . We exclude the functions u , T ' from the small terms and obtain the linear relations as in Sect . 2.4 : " u == - 100 , w , dx , T ' = - Ī , I. [ ' " . wdt . x →→ ( 5.20 ) We suppose that ...
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