2+1 KdV(N) Equations
Exactly Solvable and Integrable Systems
2016-11-29 v2
Abstract
We present some nonlinear partial differential equations in 2+1-dimensions derived from the KdV Equation and its symmetries. We show that all these equations have the same 3-soliton structures. The only difference in these solutions are the dispersion relations. We also showed that they pass the Painlev\'e test.
Cite
@article{arxiv.1102.5230,
title = {2+1 KdV(N) Equations},
author = {Metin Gürses and Aslí Pekcan},
journal= {arXiv preprint arXiv:1102.5230},
year = {2016}
}
Comments
15 pages