## 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 1-3 of 41

Page 19

In the case of electromagnetic waves, either the

or the states of definite polarization can be similarly described [2.19]. There are

also various types of plasma waves [2.20]. The complete determination of a wave

...

In the case of electromagnetic waves, either the

**components**of the field intensityor the states of definite polarization can be similarly described [2.19]. There are

also various types of plasma waves [2.20]. The complete determination of a wave

...

Page 51

If are the

magnetic moment operator is A* = Hon,h , (3.2) where fiofis = 7 is the

gyromagnetic ratio, fiq is the Bohr magneton. For the evolution of the density

matrix it is convenient ...

If are the

**components**of the spin operator then the spin contribution to amagnetic moment operator is A* = Hon,h , (3.2) where fiofis = 7 is the

gyromagnetic ratio, fiq is the Bohr magneton. For the evolution of the density

matrix it is convenient ...

Page 52

(3.5) cr fi The relations between the

nonlinear terms will be determined by the linearized Maxwell equations. Just as

in Sect. 2.5, we neglect the contributions of third order. We shall write the linear

Maxwell ...

(3.5) cr fi The relations between the

**components**of the field vectors insidenonlinear terms will be determined by the linearized Maxwell equations. Just as

in Sect. 2.5, we neglect the contributions of third order. We shall write the linear

Maxwell ...

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction | 1 |

The Discrimination and Interaction | 12 |

Interaction of Modes in an Electromagnetic Field Waveguide | 50 |

Copyright | |

6 other sections not shown

### Other editions - View all

### Common terms and phrases

allows amplitude approximation atmosphere atmospheric waveguide atmospheric waves basis functions boundary conditions calculation CKdV coefficients components considered contribution coordinate decrease denote density density matrix dependence derivation described determined dielectric dimensionless dispersion branches dispersion equation dispersion relation dissipation distribution function dynamical variables effects evolution equations exponential Fiz.Atm.Okean formulas Fourier frequency given hydrodynamical inhomogeneity initial conditions integration internal waves ion-acoustic ionospheric iteration Kaliningrad KdV equation kinetic Langmuir waves layer linear long waves magnetic field matrix mean field medium method mode interaction mode number Moscow nonlinear constants nonlinear terms Nonlinear Waves nonlocal ocean oscillations perturbation theory physical plasma waves problem projection operators quasi-waveguide quasisolitons region resonance Rossby waves S.B.Leble scale Sect small parameters soliton solution spectral SSSR stationary stratified subspaces substitution taking into account temperature thermoclyne thermoconductivity thermospheric three-wave transformed turbulence two-dimensional values velocity vertical wave interaction wave propagation wave vector waveguide propagation wavelength