Colloquium
3:00 p.m., Monday (Jan. 14)
Math Annex 1100
TaiPeng Tsai
Princeton
Soliton dynamics of nonlinear dispersive PDE
For several nonlinear dispersive PDE's, the solutions behave like
the sum of solitons and dispersive wave. The interaction between
them determines the properties of the solutions. This study is
also related to that of blowup solutions. In this talk we will
examine generalized KdV and Schrodinger equations. In particular,
we show that an excited state of a Schrodinger equation is
like a hyperbolic periodic orbit in dynamical systems with
stable/unstable manifolds.
