PIMS Applied Mathematics Seminar
Stability of Nonlinear Waves in Integrable Hamiltonian PDEs
Event
Pacific Institute for the Mathematical Sciences (PIMS) Applied Mathematics Seminar Series: Stability of Nonlinear Waves in Integrable Hamiltonian PDEs
Friday, Jan. 27, 2017
3:30 p.m.
Room 106 Biology Building
Guest Speaker:
Professor Dmitry Pelinovsky, Department of Mathematics & Statistics, McMaster University
Abstract:
Many Hamiltonian PDEs (KdV, NLS, KP, MTM) are integrable with the inverse scattering transform method. In particular, they exhibit in nitely many conserved quantities, Backlund-Darboux transformations, solvability with the associated linear systems, and other properties. I will show how to use these properties in order to study the stability problems of nonlinear waves which cannot be solved in general non-integrable Hamiltonian PDEs.
More information:
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