Journal of Nonlinear Mathematical Physics

<Previous Article In Issue
Next Article In Issue>
Volume 17, Issue 4, December 2010, Pages 491 - 502

Lax Pair, Binary Darboux Transformation and New Grammian Solutions of Nonisospectral Kadomtsev–Petviashvili Equation with the Two-Singular-Manifold Method

Authors
Shou-Fu Tian*, †, ‡, Hong-Qing Zhang*
*School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, P. R. China
†Department of Mathematics, University of British Columbia, Vancouver, V6T 1Z2, Canada
Received 26 November 2009, Accepted 25 March 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925110001045How to use a DOI?
Keywords
Painlevé analysis; Darboux transformation; nonisospectral Kadomtsev–Petviashvili equation; Lax pairs; Grammian solution
Abstract

In this letter, the two-singular-manifold method is applied to the (2+1)-dimensional nonisospectral Kadomtsev–Petviashvili equation with two Painlevé expansion branches to determine auto-Bäcklund transformation, Lax pairs and Darboux transformation. Based on the two obtained Lax pairs, the binary Darboux transformation is constructed and then the Nth iterated transformation formula in the form of Grammian is also presented. By using these Darboux transformations, we obtain some new grammian solutions.

Copyright
© 2010 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/).

Download article (PDF)

<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
17 - 4
Pages
491 - 502
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925110001045How to use a DOI?
Copyright
© 2010 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

risenwbib
TY  - JOUR
AU  - Shou-Fu Tian
AU  - Hong-Qing Zhang
PY  - 2021
DA  - 2021/01/07
TI  - Lax Pair, Binary Darboux Transformation and New Grammian Solutions of Nonisospectral Kadomtsev–Petviashvili Equation with the Two-Singular-Manifold Method
JO  - Journal of Nonlinear Mathematical Physics
SP  - 491
EP  - 502
VL  - 17
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925110001045
DO  - 10.1142/S1402925110001045
ID  - Tian2021
ER  -