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

  • Triki H
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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.

Author-supplied keywords

  • Dispersion-managed KdV
  • Energy transfer
  • Media
  • Soliton
  • Variable-coefficients KdV equation

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Authors

  • Houria Triki

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