Journal of Nonlinear Mathematical Physics

Volume 20, Issue 4, December 2013, Pages 514 - 528

Darboux transformation and novel solutions for the long wave-short wave model

Authors
Xin Huang
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan, China
Department of Basic Courses, Sichuan Finance and Economics Vocational College, Chengdu 610101, Sichuan, China
Boling Guo
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Liming Ling*
School of Sciences, South China University of Technology, Guangzhou 510640, China,linglm@scut.edu.cn,lingliming@qq.com
* Corresponding Author.
Corresponding Author
Liming Ling
Received 17 June 2013, Accepted 25 September 2013, Available Online 6 January 2021.
DOI
10.1080/14029251.2013.868265How to use a DOI?
Keywords
Long wave-short wave; Soliton; Exact solution; Darboux transformation; Non-vanishing background
Abstract

Firstly, we establish the relation between the loop group method and gauge transformation method for 3×3 spectral problem. Some novel solutions of long wave-short wave model are obtained by Darboux transformation method. Besides, we give the analysis and classification of solution in detail.

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 - 4
Pages
514 - 528
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2013.868265How 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

TY  - JOUR
AU  - Xin Huang
AU  - Boling Guo
AU  - Liming Ling
PY  - 2021
DA  - 2021/01/06
TI  - Darboux transformation and novel solutions for the long wave-short wave model
JO  - Journal of Nonlinear Mathematical Physics
SP  - 514
EP  - 528
VL  - 20
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2013.868265
DO  - 10.1080/14029251.2013.868265
ID  - Huang2021
ER  -