New Solutions of Nonlocal NLS, mKdV and Hirota Equations

Abstract

In this paper, we provide several novel solutions of the Ablowitz-Musslimani as well Yang's versions of the nonlocal nonlinear Schrödinger (NLS) equation, nonlocal modified Korteweg-de Vries (mKdV) as well as nonlocal Hirota equations. In each case we compare and contrast the corresponding solutions of the relevant local equation. Further, we provide new solutions of the local NLS, local mKdV and local Hirota equations which are not the solutions of the corresponding nonlocal equations.

arXiv comment37 pages, no figures