21 Waves in Cold Plasmas: Two-Fluid Formalism 1 21.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 21.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 21.3 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 21.4 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 7 2...

The effect of weak lateral dispersion of Zakharov-Kutznetsov-type on a Benjamin-Ono solitary wave is studied both asymptotically and numerically. The asymptotic solution is based on an approximate variational solution for the solitary wave, which is then modulated in time through the use of conservation equations. The effect of the dispersive radiation shed as the solitary wave evolves is also ...

21 Waves in Cold Plasmas: Two-Fluid Formalism 1 21.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 21.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 21.3 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 21.4 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 7 2...

A new method for inversion of surface-wave dispersion data is introduced. This method successfully utilizes recently developed genetic algorithms as a global optimization method. Such algorithms usually consist of selection, crossover, and mutation of individuals in a population. To facilitate convergence to an optimal solution, we added elite selection, which ensures that the "best" individual...

1. Abstract In order to predict strong earthquake ground motion, it is inevitable to construct a relevant subsurface structure model, especially S-wave velocity structure of the site of consideration. Inversion analysis with micro-tremor observation is frequently used to acquire S-wave velocity structure due to its convenience and inexpensiveness. Usually inversion analysis is carried out for e...

A simple equivalent circuit model for the analysis of dispersion and interaction impedance characteristics of serpentine folded-waveguide slow-wave structure was developed by considering the straight and curved portions of structure supporting the dominant TE10-mode of the rectangular waveguide. Expressions for the lumped capacitance and inductance per period of the slow-wave structure were der...

We consider energy-conserving semi-discretizations of linear wave equations on nonuniform grids. Specifically we study explicit and implicit skew-adjoint finite difference methods, based on the assumption of an underlying smooth mapping from a uniform grid, applied to the first and second order wave equations. Our interest is in internal reflection of energy at abrupt variations in grid spacing...

19 Waves in Cold Plasmas: Two-Fluid Formalism 1 19.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 19.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 19.3 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 5 19.3.1 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 19.3.2 ...

Fractional derivatives are well suited to describe wave propagation in complex media. When introduced in classical wave equations, they allow a modeling of attenuation and dispersion that better describes sound propagation in biological tissues. Traditional constitutive equations from solid mechanics and heat conduction are modified using fractional derivatives. They are used to derive a nonlin...

We construct a theory of spin wave excitations in the bilayer manganite La1.2Sr1.8Mn2O7 based on the simplest possible double–exchange model, but including leading quantum corrections to the spin wave dispersion and damping. Comparison is made with recent inelastic neutron scattering experiments. We find that quantum effects account for some part of the measured damping of spin waves, but canno...