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Instability of compactons

by Dr. Andrea Cavaglia (City University of London)

Dec 17, 2012 from 03:00 PM to 06:00 PM

Where Aula Teorici, Via Irnerio 46

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Contact Phone +39 051 20 9 1186

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Abstract: 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