Nonlinear Waves in Waveguides: With StratificationS.B. Leble's book deals with nonlinear waves and their propagation in metallic and dielectric waveguides and media with stratification. The underlying nonlinear evolution equations (NEEs) are derived giving also their solutions for specific situations. The reader will find new elements to the traditional approach. Various dispersion and relaxation laws for different guides are considered as well as the explicit form of projection operators, NEEs, quasi-solitons and of Darboux transforms. Special points relate to: 1. the development of a universal asymptotic method of deriving NEEs for guide propagation; 2. applications to the cases of stratified liquids, gases, solids and plasmas with various nonlinearities and dispersion laws; 3. connections between the basic problem and soliton- like solutions of the corresponding NEEs; 4. discussion of details of simple solutions in higher- order nonsingular perturbation theory. |
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Page 58
... Magnetic Modes in an Extended System of Nuclear Spins In this section we discuss the theory of propagation of ... electric moment , and the magnetic field by an electric field . Suppose further that the nucleus - field interaction is ...
... Magnetic Modes in an Extended System of Nuclear Spins In this section we discuss the theory of propagation of ... electric moment , and the magnetic field by an electric field . Suppose further that the nucleus - field interaction is ...
Page 63
... electric interaction . It is enough to change the magnetic field and momentum vectors to electric field vectors . The sequence of steps is the same , only the designations and results of the commutations are changed . The pseudospin ...
... electric interaction . It is enough to change the magnetic field and momentum vectors to electric field vectors . The sequence of steps is the same , only the designations and results of the commutations are changed . The pseudospin ...
Page 163
... electric wave 54 Transverse magnetic wave 54 Turbulent energy balance equation Turbulent plasma V , 1,69 Turbulent spectral densities Turbulent spectrum 1,2 , 10,34 120 84 85,86 Right ( left ) -travelling wave 5 , 6 , 54 Rossby wave 8,9 ...
... electric wave 54 Transverse magnetic wave 54 Turbulent energy balance equation Turbulent plasma V , 1,69 Turbulent spectral densities Turbulent spectrum 1,2 , 10,34 120 84 85,86 Right ( left ) -travelling wave 5 , 6 , 54 Rossby wave 8,9 ...
Contents
Introduction | 1 |
The Discrimination and Interaction | 12 |
3 | 33 |
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 dimensionless dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects electromagnetic electron evolution equations frequency given group velocities H₂ hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic waves ionospheric iteration KdV equation kinetic Langmuir wave layer linear longitudinal longitudinal waves magnetic field matrix mean field medium method mode interaction 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 taking into account temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence velocity vertical w₁ wave propagation wave vector waveguide propagation wavelength