Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds
Exactly Solvable and Integrable Systems
2015-05-13 v1
Abstract
By using gauge transformations, we manage to obtain new solutions of (2+1)-dimensional Kadomtsev-Petviashvili(KP), Kaup-Kuperschmidt(KK) and Sawada-Kotera(SK) equations from non-zero seeds. For each of the preceding equations, a Galilean type transformation between these solutions and the previously known solutions generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for and , and further point out the two main differences of them under the same value of parameters, i.e., height and location of peak line, which are demonstrated visibly in three figures.
Keywords
Cite
@article{arxiv.0811.4016,
title = {Solutions of the (2+1)-dimensional KP, SK and KK equations generated by gauge transformations from non-zero seeds},
author = {Jingsong He and Xiaodong Li},
journal= {arXiv preprint arXiv:0811.4016},
year = {2015}
}
Comments
18 pages, 6 figures, to appear in Journal of Nonlinear Mathematical Physics