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. |
From inside the book
Results 1-5 of 73
Page v
... interacting waves can be separated according to their type , then the NES becomes extremely simple in terms of the roots of the lin- earized dispersion equation . This wave separation requires the introduction of a special technique of ...
... interacting waves can be separated according to their type , then the NES becomes extremely simple in terms of the roots of the lin- earized dispersion equation . This wave separation requires the introduction of a special technique of ...
Page vi
... waves may help to investigate the effects that are related to complicated single - mode prop- agation and multi - mode interaction phenomena . The theory of turbulent plasma is studied in connection with Silin - Tikhonchuk solitons ...
... waves may help to investigate the effects that are related to complicated single - mode prop- agation and multi - mode interaction phenomena . The theory of turbulent plasma is studied in connection with Silin - Tikhonchuk solitons ...
Page vii
... Wave Type 2.2.2 Projection Operators in Geophysical Hydrodynamics 2.2.3 Projection Operators for Poincaré and Rossby Waves Interaction of Surface Poincaré and Rossby Waves Long Atmospheric Internal Waves Internal Waves in an Atmospheric ...
... Wave Type 2.2.2 Projection Operators in Geophysical Hydrodynamics 2.2.3 Projection Operators for Poincaré and Rossby Waves Interaction of Surface Poincaré and Rossby Waves Long Atmospheric Internal Waves Internal Waves in an Atmospheric ...
Page viii
... Wave Modes in Stratified Plasma 4.1.1 Description of Plasma Waves 4.1.2 Weakly Inhomogeneous Bounded Plasma Interaction of Plasma Waves 69 69 69 74 76 4.2.1 Langmuir and Ion Wave Interactions 76 4.3 4.3.1 4.2.2 Three - Wave Helico - ...
... Wave Modes in Stratified Plasma 4.1.1 Description of Plasma Waves 4.1.2 Weakly Inhomogeneous Bounded Plasma Interaction of Plasma Waves 69 69 69 74 76 4.2.1 Langmuir and Ion Wave Interactions 76 4.3 4.3.1 4.2.2 Three - Wave Helico - ...
Page 2
... wave theory is not at all complete . The propagation of waves in guides is one such problem . We should add that the ... wave propagation and interaction ( Chaps . 2–5 ) . In the second , wave effects such as nonlinear generation of non ...
... wave theory is not at all complete . The propagation of waves in guides is one such problem . We should add that the ... wave propagation and interaction ( Chaps . 2–5 ) . In the second , wave effects such as nonlinear generation of non ...
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 |
Other editions - View all
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