Instability of compactons

by Dr Andrea Cavaglia (City University (Londra))

Aula Teorici (Dipartimento di Fisica)

Aula Teorici

Dipartimento di Fisica

Via Irnerio, 46
Soliton solutions to evolutionary PDEs arise as a balance between nonlinear and dispersive effects. However, if the dispersive term itself is nonlinear, traveling wave solutions are non-analytic. An important example of this kind of solutions are compactons: traveling waves with a compact support that interact quasi elastically. I will consider an equation in 1+1 dimensions which was proved integrable by Fokas et al. In this model, rather than interacting elastically, compacton solutions seem unstable. I will present a numerical study and try to provide an explanation.