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 viii
... Quasi - Waveguide Propagation of Internal Waves in the Atmosphere 888888 93 93 98 104 Waves in Gases Inhomogeneous in Knudsen Number 106 6. Mean Field Generation by Waves in a Dissipative Medium 114 6.1 Description of a Wave - Medium ...
... Quasi - Waveguide Propagation of Internal Waves in the Atmosphere 888888 93 93 98 104 Waves in Gases Inhomogeneous in Knudsen Number 106 6. Mean Field Generation by Waves in a Dissipative Medium 114 6.1 Description of a Wave - Medium ...
Page 1
... wave interactions in waveguides ( quasi - waveguides ) that result from an inhomogeneity in the propagation medium are presented . The theoretical descrip- tion of finite amplitude wave dynamics naturally concerns problems in mathe ...
... wave interactions in waveguides ( quasi - waveguides ) that result from an inhomogeneity in the propagation medium are presented . The theoretical descrip- tion of finite amplitude wave dynamics naturally concerns problems in mathe ...
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 66
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Contents
1 | |
12 | |
2223 | 19 |
5 | 30 |
6 | 37 |
7 | 45 |
88886 | 62 |
Nonlinear Waves in Stratified Plasma | 69 |
3 | 95 |
Waves in Gases Inhomogeneous in Knudsen Number | 106 |
Mean Field Generation by Waves in a Dissipative Medium | 114 |
5 | 134 |
Nonlinear Terms for Interacting Modes of Poincaré | 141 |
Basis Vectors Interaction Operator for Atomic Nuclei | 145 |
Subject Index 161 | 160 |
4 | 88 |
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Common terms and phrases
allows amplitude approximation atmosphere atmospheric waves B₁ basis functions boundary conditions calculation CKdV coefficients components contribution coordinate denote density density matrix dependence derivation described determined dielectric dimensionless dispersion branches dispersion relation dissipation distribution function dynamical variables effects electromagnetic evolution equations Fiz.Atm.Okean frequency given hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic Ionosphere iteration KdV equation kinetic Langmuir Langmuir waves layer linear long waves magnetic field matrix mean field medium method mode interaction Moscow Nauka nonlinear constants nonlinear terms Nonlinear Waves nonlocal oscillations 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 values vector velocity vertical w₁ wave propagation wave vector waveguide propagation wavelength пп