Nonlocal KdV Equations
Exactly Solvable and Integrable Systems
2020-10-28 v1
Abstract
Writing the Hirota-Satsuma (HS) system of equations in a symmetrical form we find its local and new nonlocal reductions. It turns out that all reductions of the HS system are Korteweg-de Vries (KdV), complex KdV, and new nonlocal KdV equations. We obtain one-soliton solutions of these KdV equations by using the method of Hirota bilinearization.
Keywords
Cite
@article{arxiv.2004.07144,
title = {Nonlocal KdV Equations},
author = {Metin Gürses and Aslı Pekcan},
journal= {arXiv preprint arXiv:2004.07144},
year = {2020}
}
Comments
15 pages, 7 figures