The nonlinear Schroedinger equation and the evolution of wave packets in nonlinear dispersive equations

CDSNS Colloquium
Wednesday, November 30, 2016 - 11:00am
1 hour (actually 50 minutes)
Skiles 005
Boston University
The nonlinear Schroedinger equation (NLS) can be derived as a formal approximating equation for the evolution of wave packets in a wide array of nonlinear dispersive PDE’s including the propagation of waves on the surface of an inviscid fluid.  In this talk I will describe recent work that justifies this approximation by exploiting analogies with the theory of normal forms for ordinary differential equations.