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.
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