$(2+1)$-dimensional AKNS($-N$) Systems: $ N=3,4$
Exactly Solvable and Integrable Systems
2019-10-25 v1
Abstract
In this work we continue to study negative AKNS() that is AKNS() system for . We obtain all possible local and nonlocal reductions of these equations. We construct the Hirota bilinear forms of these equations and find one-soliton solutions. From the reduction formulas we obtain also one-soliton solutions of all reduced equations.
Cite
@article{arxiv.1910.11298,
title = {$(2+1)$-dimensional AKNS($-N$) Systems: $ N=3,4$},
author = {Metin Gürses and Aslı Pekcan},
journal= {arXiv preprint arXiv:1910.11298},
year = {2019}
}
Comments
12 pages