PIMS Applied Mathematics Seminar Series: Stability of Nonlinear Waves in Integrable Hamiltonian PDEs
Dmitry Pelinovsky, Jan 27 2017
When: Friday, January 27 2017 @ 3:30 PM
Where: Room 106 Biology Building
Guest Speaker: Professor Dmitry Pelinovsky, Department of Mathematics & Statistics, McMaster University
Title:Stability of Nonlinear Waves in Integrable Hamiltonian PDEs
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.
PDF of Poster:
PIMS Pelinovsky Tabloid January 27 2017.pdf