Volume 16, Issue 2, June 2009, Pages 179 - 194
Solutions of the (2 + 1)-Dimensional KP, SK and KK Equations Generated by Gauge Transformations from Nonzero Seeds
Authors
Jingsong He*, Xiaodong Li
Department of Mathematics, University of Science and Technology of China, Hefei, 230026 Anhui, P. R. China
Received 6 October 2008, Accepted 25 November 2008, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925109000170How to use a DOI?
- Keywords
- Gauge transformation; soliton; KP equation; BKP equation; CKP equation
- 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 nonzero seeds. For each of the preceding equations, a Galilean type transformation between these solutions u2 and the previously known solutions u′2 generated from zero seed is given. We present several explicit formulas of the single-soliton solutions for u2 and u′2, 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.
- Copyright
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Jingsong He AU - Xiaodong Li PY - 2021 DA - 2021/01/07 TI - Solutions of the (2 + 1)-Dimensional KP, SK and KK Equations Generated by Gauge Transformations from Nonzero Seeds JO - Journal of Nonlinear Mathematical Physics SP - 179 EP - 194 VL - 16 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000170 DO - 10.1142/S1402925109000170 ID - He2021 ER -