Numerical schemes for short wave long wave
interaction equations
We prove convergence of some numerical schemes for
short wave long wave interaction equations. These are systems of nonlinear PDEs
consisting of a Schroedinger equation for the short waves and either a KdV
equation or a nonlinear conservation law modeling the long waves. We present
some computations and a numerical study of some open problems. This is joint
work with M. Figueira of CMAF-UL.