Events in Physics

Rogue Wave Solution for the NLS and DNLS-type Equations

Jingsong He

Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P. R. China

Abstract:

In this talk, the variable coefficient nonlinear Schrodinger equation (VCNLSE), derivative nonlinear Schrodinger equation (DNLSE) and variable coefficient derivative non-linear Schrodinger equation(VCDNLSE) are discussed. The rogue wave solution of VCNLSE, DNLSE and VCDNLSE are given. The DNLSE is solved by Darboux transformation. The solutions of VCNLSE (VCDNLSE) are given from known solutions of NLSE (DNLSE) by a transformation developed by us recently. Several figures for these solutions are plotted to understand intuitionally its dynamical evolution.

This is a joint work with Prof. Yishen Li, Lihong Wang and my students (Youying Wang and Shuwei Xu).