New Solutions of Coupled Nonlocal NLS and Coupled Nonlocal mKdV Equations
Exactly Solvable and Integrable Systems
2023-08-22 v1 Mathematical Physics
math.MP
Pattern Formation and Solitons
Abstract
We provide several novel solutions of the coupled Ablowitz-Musslimani (AM) version of the nonlocal nonlinear Schr\"odinger (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.
Keywords
Cite
@article{arxiv.2308.10163,
title = {New Solutions of Coupled Nonlocal NLS and Coupled Nonlocal mKdV Equations},
author = {Avinash Khare and Avadh Saxena},
journal= {arXiv preprint arXiv:2308.10163},
year = {2023}
}
Comments
39 pages, no figures