Volume 22, Issue 2, February 2015, Pages 194 - 203
On generalized Lax equation of the Lax triple of KP Hierarchy
Authors
Xiao-Li Wang
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
School of Science, Qilu University of Technology, Jinan 250353, China
Lu Yu
Economic management Branch, Jiangxi Industry polytechnic college, Nanchang 330039,China
Yan-Xin Yang, Min-Ru Chen*
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
College of Arts and Sciences, Shanxi Agricultural University, Taigu, Shanxi 030801, China
School of Mathematics and Statistics Sciences, Henan University, Kaifeng 475001, China,cmr@henu.edu.cn
*Corresponding author.
Corresponding Author
Min-Ru Chen
Received 2 November 2014, Accepted 27 January 2015, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.1023565How to use a DOI?
- Keywords
- Integrable systems; KP hierarchy; Lax triple
- Abstract
In terms of the operator Nambu 3-bracket and the Lax pair (L, Bn) of the KP hierarchy, we propose the generalized Lax equation with respect to the Lax triple (L, Bn, Bm). The intriguing results are that we derive the KP equation and another integrable equation in the KP hierarchy from the generalized Lax equation with the different Lax triples (L, Bn, Bm). Furthermore we derive some no integrable evolution equations and present their single soliton solutions.
- Copyright
- © 2015 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 - Xiao-Li Wang AU - Lu Yu AU - Yan-Xin Yang AU - Min-Ru Chen PY - 2021 DA - 2021/01/06 TI - On generalized Lax equation of the Lax triple of KP Hierarchy JO - Journal of Nonlinear Mathematical Physics SP - 194 EP - 203 VL - 22 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.1023565 DO - 10.1080/14029251.2015.1023565 ID - Wang2021 ER -