Nonlinear Waves in Waveguides: With Stratification |
From inside the book
Results 1-3 of 29
Page 28
... variables in the zero order of the small parameters are t / ẞ , y - > y / vß , x → x / B , zz . This allows one to estimate u → ou , v → ßvov , w → oßv , T → σT , 8 → 08 . ― In fact this change of variables formalizes the assumed ...
... variables in the zero order of the small parameters are t / ẞ , y - > y / vß , x → x / B , zz . This allows one to estimate u → ou , v → ßvov , w → oßv , T → σT , 8 → 08 . ― In fact this change of variables formalizes the assumed ...
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 = λz / λy . We exclude the functions u , T ' from the small terms and obtain the linear relations as in Sect . 2.4 : I t u = - w ̧dï , T ' = -Ï ; [ * wdt . ( 5.20 ) - · ∞ We suppose that at times t≤ 0 ...
... small parameters ẞ = λz / λx , v = λz / λy . We exclude the functions u , T ' from the small terms and obtain the linear relations as in Sect . 2.4 : I t u = - w ̧dï , T ' = -Ï ; [ * wdt . ( 5.20 ) - · ∞ We suppose that at times t≤ 0 ...
Contents
Introduction | 1 |
The Discrimination and Interaction | 12 |
223 | 19 |
Copyright | |
16 other sections not shown
Other editions - View all
Common terms and phrases
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