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
Page v
... waves is emphasized and illustrated by the author's own results . The basic ... waves can be separated according to their type , then the NES becomes extremely ... atmospheric acoustic - gravitational waves . These various ( physical ) ...
... waves is emphasized and illustrated by the author's own results . The basic ... waves can be separated according to their type , then the NES becomes extremely ... atmospheric acoustic - gravitational waves . These various ( physical ) ...
Page vi
... atmosphere ( in the thermosphere ) specific waveguide propagation conditions occur . The col- lisionless regime and the action of the gravitational field restrict the atmospheric waves to a limited height interval . The theoretical ...
... atmosphere ( in the thermosphere ) specific waveguide propagation conditions occur . The col- lisionless regime and the action of the gravitational field restrict the atmospheric waves to a limited height interval . The theoretical ...
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
... Atmospheric Waves over a Rotating Planet 139 Appendix 2 Nonlinear Terms for Interacting Modes of Poincaré and Rossby Waves at a Rotating Channel Surface 141 Appendix 3 Projection to the Eigen Subspaces for Acoustic and Internal Waves ...
... Atmospheric Waves over a Rotating Planet 139 Appendix 2 Nonlinear Terms for Interacting Modes of Poincaré and Rossby Waves at a Rotating Channel Surface 141 Appendix 3 Projection to the Eigen Subspaces for Acoustic and Internal Waves ...
Page 2
... atmospheric , water and plasma waves as needed for the solution of problems of wave propagation and interaction ( Chaps . 2–5 ) . In the second , wave effects such as nonlinear generation of non - wavelike disturbances are considered in ...
... atmospheric , water and plasma waves as needed for the solution of problems of wave propagation and interaction ( Chaps . 2–5 ) . In the second , wave effects such as nonlinear generation of non - wavelike disturbances are considered in ...
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