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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Results 1-3 of 12
Page 3
... quasi - waveguide is formed and the waves are captured in any transverse coordinate interval , the boundaries are conventional . This leads to a change in the dispersion type , usually it is nonlocal . The problems that lead to model ...
... quasi - waveguide is formed and the waves are captured in any transverse coordinate interval , the boundaries are conventional . This leads to a change in the dispersion type , usually it is nonlocal . The problems that lead to model ...
Page 10
... wave in a quasi - waveguide , for example in the atmosphere , has a nonlocal dispersion term in the same form as that for an electromagnetic wave in a dielectric layer ( compare Sects . 5.3 and 3.4 ) . An important direction of the ...
... wave in a quasi - waveguide , for example in the atmosphere , has a nonlocal dispersion term in the same form as that for an electromagnetic wave in a dielectric layer ( compare Sects . 5.3 and 3.4 ) . An important direction of the ...
Page 94
... wave and nonwave regimes of different layers is obtained by the introduction of an additional transition interval ( boundary layer ) . In the theory of quasi - waveguide propagation the dispersion and nonlinearity may become nonlocal ...
... wave and nonwave regimes of different layers is obtained by the introduction of an additional transition interval ( boundary layer ) . In the theory of quasi - waveguide propagation the dispersion and nonlinearity may become nonlocal ...
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