Focusing Singularity in a Derivative Nonlinear Schrödinger Equation

Xiao Liu, Gideon Simpson, Catherine Sulem

We present a numerical study of a derivative nonlinear Schrödinger equation with a general power nonlinearity, $|\psi {|}^{2\sigma }{\psi }_x$. In the $L^2$-supercritical regime, $\sigma >1$, our simulati…