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Volume 18, Issue 2, June 2011, Pages 323 - 336
New Type of Nonisospectral KP Equation with Self-Consistent Sources and its Bilinear Bäcklund Transformation
Authors
Ye-Peng Sun
School of Statistics and Mathematics, Shandong Economic University, Jinan 250014, People's Republic of China,yepsun@163.com
Hon-Wah Tam
Department of Computer Science, Hong Kong Baptist University, Hong Kong, People's Republic of China
Received 10 October 2010, Accepted 7 December 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925111001490How to use a DOI?
- Keywords
- Nonisospectral KP equation; Bäcklund transformation; source generation procedure; soliton solution
- Abstract
A new type of the nonisospectral KP equation with self-consistent sources is constructed by using the source generation procedure. A new feature of the obtained nonisospectral system is that we allow y-dependence of the arbitrary constants in the determinantal solution for the nonisospectral KP equation. In order to further show integrability of the novel nonisospectral KP equation with self-consistent sources, we give a bilinear Bäcklund transformation.
- Copyright
- © 2011 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/).
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Cite this article
TY - JOUR AU - Ye-Peng Sun AU - Hon-Wah Tam PY - 2021 DA - 2021/01/07 TI - New Type of Nonisospectral KP Equation with Self-Consistent Sources and its Bilinear Bäcklund Transformation JO - Journal of Nonlinear Mathematical Physics SP - 323 EP - 336 VL - 18 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925111001490 DO - 10.1142/S1402925111001490 ID - Sun2021 ER -