Nonlocal Superposed Solutions II: Coupled Nonlinear Equations
Pattern Formation and Solitons
2022-09-16 v1 Mathematical Physics
math.MP
Abstract
We obtain novel periodic as well as hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlinear Schr\"odinger equation (NLS) as well as a coupled nonlocal modified Korteweg-de Vries (mKdV) equation which can be re-expressed as a linear superposition of the sum or the difference of two hyperbolic or two periodic kink or pulse solutions. Besides, we also discuss some of the other solutions admitted by these coupled equations. These results demonstrate that the notion of the superposed solutions extends to the coupled nonlocal nonlinear equations as well.
Cite
@article{arxiv.2209.06976,
title = {Nonlocal Superposed Solutions II: Coupled Nonlinear Equations},
author = {Avinash Khare and Avadh Saxena},
journal= {arXiv preprint arXiv:2209.06976},
year = {2022}
}
Comments
38 pages, no figures. arXiv admin note: substantial text overlap with arXiv:2207.06359