Paulo Amorim (CMAF e Universidade de Lisboa)

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.