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

Monday, May 10, 2010 -
4:00pm to 6:00pm
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.
Speaker: 
Claudio Munoz
University of Versailles
Event Location: 
Fine Hall 110