Numerical schemes for short wave long wave
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.