We discuss the pivotal role played by the nonlinear dispersion in shaping novel, compact and noncompact patterns. It is Ž n. shown that if the normal velocity of a planar curve is Usy k , n)1, where k is the curvature, then the solitary s disturbances may propagate like compactons. We extend the KP and the Boussinesq equations to include nonlinear dispersion to the effect that the new equations...

We extend our approach to the Casimir effect between absorbing dielectric multilayers [M. S. Tomaš, Phys. Rev. A 66, 052103 (2002)] to magnetodielectric systems. The resulting expression for the force is used to numerically explore the effect of the medium dispersion on the attractive/repulsive force in a metal-magnetodielectric system described by the Drude-Lorentz permittivities and permeabil...

We report an experimental study of group-velocity dispersion effect on an entangled two-photon wavepacket, generated via spontaneous parametric downconversion and propagating through a dispersive medium. Even in the case of using CW laser beam for pump, the biphoton wavepacket and the secondorder correlation function spread significantly. The study and understanding of this phenomenon is of gre...

We introduce a new dispersion-velocity particle method for approximating solutions of linear and nonlinear dispersive equations. This is the first time in which particle methods are being used for solving such equations. Our method is based on an extension of the diffusion-velocity method of Degond and Mustieles (SIAM J. Sci. Stat. Comput. 11(2), 293 (1990)) to the dispersive framework. The mai...

We investigate the well-posedness of a class of nonlinear dispersive waves on trees, in connection with the mathematical modeling of the human cardiovascular system. Specifically, we study the Benjamin-Bona-Mahony (BBM) equation, also known as the regularized long wave equation, posed on finite trees, together with standard junction and terminal boundary conditions. We prove that the Cauchy pro...

We present a way to deal with dispersion-dominated " shock-type " transition in the absence of completely integrable structure for the systems that one may characterize as strictly hyperbolic regularized by a small amount of dispersion. The analysis is performed by assuming that, the dispersive shock transition between two different constant states can be modelled by an expansion fan solution o...

a new simple and rapid dispersive liquid-liquid microextraction has been applied to preconcentrate tracelevels of zinc as a prior step to its determination by spectrophotometric method. in the proposed method, 4-(2-pyridylazo) resorcinol (par) is used as a chelating agent, and chloroform and ethanol are selected asextraction and dispersive solvent. the optimization strategy is carried out by us...

We present a way to deal with dispersion-dominated " shock-type " transition in the absence of completely integrable structure for the systems that one may characterize as strictly hyperbolic regularized by a small amount of dispersion. The analysis is performed by assuming that, the dispersive shock transition between two different constant states can be modelled by an expansion fan solution o...

A linear dispersive mechanism for error focusing in polychromatic solutions is identified. This local error pile-up corresponds to the existence of spurious caustics, which are allowed by the dispersive nature of the numerical error. ¿From the mathematical point of view, spurious caustics are related to extrema of the numerical group velocity. Several popular schemes are analyzed and are shown ...

In this paper, based on the concept of domain decomposition and alternating group, we construct a class of Finite Difference method for fifth order dispersive equations, Stability Analysis for he method is given. Then we construct a new alternating group explicit iterative method. Both the two methods are suitable for parallel computation. Results of numerical experiments show the methods are e...