New Solutions of Nonlocal NLS, mKdV and Hirota Equations
Exactly Solvable and Integrable Systems
2023-06-02 v1 Pattern Formation and Solitons
Abstract
In this paper, we provide several novel solutions of the Ablowitz-Musslimani as well Yang's versions of the nonlocal nonlinear Schr\"odinger (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.
Keywords
Cite
@article{arxiv.2306.00329,
title = {New Solutions of Nonlocal NLS, mKdV and Hirota Equations},
author = {Avinash Khare and Avadh Saxena},
journal= {arXiv preprint arXiv:2306.00329},
year = {2023}
}
Comments
37 pages, no figures