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

Houria Triki

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 4, 283-292

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.

Keywords: Variable-coefficients KdV equation; Dispersion-managed KdV; Media; Energy transfer; Soliton (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:4:p:283-292

DOI: 10.1016/j.matcom.2006.11.005

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