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

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  • Triki, Houria

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.

Suggested Citation

  • Triki, Houria, 2007. "Energy transfer in a dispersion-managed Korteweg-de Vries system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(4), pages 283-292.
    • Handle: RePEc:eee:matcom:v:76:y:2007:i:4:p:283-292
    DOI: 10.1016/j.matcom.2006.11.005
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    Cited by:

    1. Triki, Houria & Taha, Thiab R., 2009. "On the calculation of the timing shifts in the variable-coefficient Korteweg-de Vries equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(1), pages 212-222.
    2. Triki, Houria & Taha, Thiab R., 2009. "Calculation of timing and amplitude jitter in a dispersion-managed Korteweg–de Vries system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 660-665.

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