Stability of Nonlinear Waves in Integrable Hamiltonian PDEs is part of the PIMS Applied Mathematics Seminar Series in the Department of Mathematics and Statistics.

PIMS Applied Mathematics Seminar

Stability of Nonlinear Waves in Integrable Hamiltonian PDEs

Jan 27, 2017

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 innitely 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:

PDF of poster

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