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 1-5 of 43
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 2
... waves in guides is one such problem . We should add that the rapid ... waves has given birth to a variety of inte- grable nonlinear equations - Korteweg - de Vries ... long waves the mode coefficient functions en ( x , t ) satisfy the KdV ...
... waves in guides is one such problem . We should add that the rapid ... waves has given birth to a variety of inte- grable nonlinear equations - Korteweg - de Vries ... long waves the mode coefficient functions en ( x , t ) satisfy the KdV ...
Page 7
... waves in metal tubes , dielectric layers and fibers ( Chap . 2 ) . The broad range of possible applications in physics ... long internal waves the simplest two - dimensional single mode system is the KP equation [ 1.27,33 ] . The aspects ...
... waves in metal tubes , dielectric layers and fibers ( Chap . 2 ) . The broad range of possible applications in physics ... long internal waves the simplest two - dimensional single mode system is the KP equation [ 1.27,33 ] . The aspects ...
Page 8
... waves is carried out in Appendix 3. The wave separation is done in the subspace of any definite transverse mode . The wave interaction system is derived in the next section . This system contains long wave ( KdV ) as well as short wave ...
... waves is carried out in Appendix 3. The wave separation is done in the subspace of any definite transverse mode . The wave interaction system is derived in the next section . This system contains long wave ( KdV ) as well as short wave ...
Page 11
... wave are called the mean field ( motion ) by Grimshaw [ 1.83 ] and Miropolsky [ 1.26 ] . It is shown that the Zakharov system for plasma waves [ 1.73 ] is gen- eral for interactions of both short and long waves ( that may be related to ...
... wave are called the mean field ( motion ) by Grimshaw [ 1.83 ] and Miropolsky [ 1.26 ] . It is shown that the Zakharov system for plasma waves [ 1.73 ] is gen- eral for interactions of both short and long waves ( that may be related to ...
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