IMA Postdoc Seminar (May 21, 2010)

Speaker:Claudio Munoz (University of Versailles)

Title:On the soliton dynamics under a slowly varying medium for generalized KdV equations.

Abstract:We consider the problem of the soliton propagation, in a slowly varying medium, for a generalized Korteweg - de Vries equations (gKdV). We study the effects of inhomogeneities on the dynamics of a standard soliton. We prove that slowly varying media induce on the soliton solution large dispersive effects in large time. Moreover, unlike gKdV equations, we prove that there is no pure-soliton solution in this regime.