Wave Collapse in Nonlocal Nonlinear Schrödinger Equations

Tuesday, October 26, 2004 - 2:40pm - 3:30pm
EE/CS 3-180
Mark Ablowitz (University of Colorado)
Wave collapse occurs in nonlinear media whose governing equations have quadratic nonlinearities. Examples include water waves and nonlinear optics. Although these two physical problem are very different, the equations that govern their dynamics are similar. The equations, which couple the first harmonic to the mean terms in a quasi-monochromatic amplitude perturbation expansion are nonlocal nonlinear Schrodinger systems. They are sometimes referred to as Benney-Roskes or Davey-Stewartson type. The two dimensional ground state solution, is found to play an important role in the wave collapse mechanism.