Nonlinear Waves in Waveguides: With Stratification |
From inside the book
Results 1-3 of 18
Page 3
... CKdV have been derived here for different hydrodynamical systems ( Sects . 2.1-4 ) [ 1.27,32 ] . The explicit form for nonlinear and dispersion constants was obtained . In a collaboration with Kshevetsky the approach to CKdV integration ...
... CKdV have been derived here for different hydrodynamical systems ( Sects . 2.1-4 ) [ 1.27,32 ] . The explicit form for nonlinear and dispersion constants was obtained . In a collaboration with Kshevetsky the approach to CKdV integration ...
Page 41
... CKdV [ 2.24 ] . 2.6.2 The Symmetry and Integrability of CKdV σπ Let us sum up some aspects of the mathematical CKdV [ 2.75 ] . We set ≈ σ = ẞ = 1. The general system has very poor symmetry . Actually if 0 β the coordinates are ...
... CKdV [ 2.24 ] . 2.6.2 The Symmetry and Integrability of CKdV σπ Let us sum up some aspects of the mathematical CKdV [ 2.75 ] . We set ≈ σ = ẞ = 1. The general system has very poor symmetry . Actually if 0 β the coordinates are ...
Page 45
... CKdV . Therefore , we aim at the development of a nonsingular perturbation theory approach that allows one to get results within a given accuracy in the time intervals in which the general CKdV is valid ( Sect . 2.5 ) . We note also ...
... CKdV . Therefore , we aim at the development of a nonsingular perturbation theory approach that allows one to get results within a given accuracy in the time intervals in which the general CKdV is valid ( Sect . 2.5 ) . We note also ...
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