Nonlinear Waves in Waveguides: With Stratification |
From inside the book
Results 1-3 of 16
Page 37
... iteration procedure . At each step of the procedure some model system with small parameters is formed . The solutions of these evolution equations have the property that the coordinate dependence changes increase due to the small terms ...
... iteration procedure . At each step of the procedure some model system with small parameters is formed . The solutions of these evolution equations have the property that the coordinate dependence changes increase due to the small terms ...
Page 38
... iteration in equation ( 2.79 ) be carried out as in ( 2.78 ) and the iterated equation have smooth solu- tions with the condition max | N ( 2 ) ( x , t ) | ≤ 1 at t € [ 0 , t , 2 ] . Then the estimated results derived from perturbation ...
... iteration in equation ( 2.79 ) be carried out as in ( 2.78 ) and the iterated equation have smooth solu- tions with the condition max | N ( 2 ) ( x , t ) | ≤ 1 at t € [ 0 , t , 2 ] . Then the estimated results derived from perturbation ...
Page 57
... iteration or if the mode interaction is taken into account . The second iteration gives a cubic nonlinearity and ( 3.31 ) becomes the nonlinear Schrödinger equation ( NS ) . The wave modes interaction yields a resonant contribution ...
... iteration or if the mode interaction is taken into account . The second iteration gives a cubic nonlinearity and ( 3.31 ) becomes the nonlinear Schrödinger equation ( NS ) . The wave modes interaction yields a resonant contribution ...
Contents
Introduction | 1 |
The Discrimination and Interaction | 12 |
3 | 27 |
Copyright | |
12 other sections not shown
Other editions - View all
Common terms and phrases
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