Darboux transformation and novel solitons of a coupled system

Xianghua Jiang and Xifang Cao ()
Additional contact information
Xianghua Jiang: Danyang Normal School, Zhenjiang College
Xifang Cao: Yangzhou University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 2, 413-424

Abstract: Abstract In this paper we give a Darboux transformation for a coupled system. As the applications of that system, applying our Darboux transformation to some trivial seed solutions we construct some new solutions, such as kink, soliton, kink-soliton and twins-soliton. The twins-soliton obtained in this paper is a travelling wave solution and so its wave form does not change with the time. We also show that two such twins-solitons are unaltered in shape and speed after the nonlinear interaction.

Keywords: Darboux transformation; Kink; Soliton; Kink-soliton; Twins-soliton (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-021-00207-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:53:y:2022:i:2:d:10.1007_s13226-021-00207-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-021-00207-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().