New Solutions of Coupled Nonlocal NLS and Coupled Nonlocal mKdV Equations

Abstract

We provide several novel solutions of the coupled Ablowitz-Musslimani (AM) version of the nonlocal nonlinear Schrödinger (NLS) equation and the coupled nonlocal modified Korteweg-de Vries (mKdV) equations. In each case we compare and contrast the corresponding solutions of the relevant coupled local equations. Further, we provide new solutions of the coupled local NLS and the coupled local mKdV equations which are not the solutions of the corresponding nonlocal equations.

arXiv comment39 pages, no figures