Journal of Nonlinear Mathematical Physics

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Volume 20, Issue 1, April 2013, Pages 94 - 105

Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets

Authors
Hui-Ping Zhou1, Bo Tian2, Hui-Xia Mo1, *, Min Li2, Pan Wang2
School of Science, Beijing University of Posts and Telecommunications, P.O. Box 122, Beijing, 100876, the People's Republic of China,ahuiping@126.com,huixmo@bupt.edu.cn
Ministry of Education, Key Laboratory of Information Photonics and Optical Communications (BUPT), P.O. Box 128, Beijing, 100876, the People's Republic of China,tian.bupt@yahoo.com.cn,li.xiao.min85@gmail.com,wangpanpan19851105@yahoo.com.cn
*Corresponding author.
Corresponding Author
Hui-Xia Mo
Received 14 October 2012, Accepted 13 January 2013, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.792475How to use a DOI?
Keywords
Davey-Stewartson-like equations; Bell polynomials; Symbolic computation; Hirota method; Bäcklund transformation; Lax pair; Solitons; Localized excitations
Abstract

The (2+1)-dimensional Davey-Stewartson-like equations with variable coefficients have the applications in the ultra-relativistic degenerate dense plasmas and Bose-Einstein condensates. Via the Bell polynomials and symbolic computation, the bilinear form, Bäcklund transformation and Lax pair for such equations are obtained. Based on the Hirota method, we construct the soliton solutions, analyze the elastic collisions with the constant and variable coefficients, and observe that solitons no longer keep rectilinear propagation and display different shapes because of the variable coefficients. Besides, localized excitations are derived through the variable separation.

Copyright
© 2013 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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
20 - 1
Pages
94 - 105
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.792475How to use a DOI?
Copyright
© 2013 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  - Hui-Ping Zhou
AU  - Bo Tian
AU  - Hui-Xia Mo
AU  - Min Li
AU  - Pan Wang
PY  - 2021
DA  - 2021/01/06
TI  - Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets
JO  - Journal of Nonlinear Mathematical Physics
SP  - 94
EP  - 105
VL  - 20
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.792475
DO  - 10.1080/14029251.2013.792475
ID  - Zhou2021
ER  -