Energy transfer in a dispersion-managed Korteweg-de Vries system

3Citations
Citations of this article
4Readers
Mendeley users who have this article in their library.
Get full text

Abstract

We consider the propagation of weakly nonlinear, weakly dispersive waves in an inhomogeneous media within the framework of the variable-coefficient Korteweg-de Vries equation. An analytical formula with which to compute the energy transfer between neighboring solitary waves is derived. The resulting expression shows that the energy change in a variable KdV system is essentially due the two-wave mixing, contrary to the energy change in a nonlinear Schrödinger system, which results from the intrachannel four-wave mixing. By considering the case of Gaussian solitary wave solutions, we have determined the transfer of energy in the system analytically and numerically. © 2007 IMACS.

Cite

CITATION STYLE

APA

Triki, H. (2007). Energy transfer in a dispersion-managed Korteweg-de Vries system. Mathematics and Computers in Simulation, 76(4), 283–292. https://doi.org/10.1016/j.matcom.2006.11.005

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free