N-Fold Darboux Transformation for the Classical Three-Component Nonlinear Schrödinger Equations and Its Exact Solutions

Yu-Shan Bai, Peng-Xiang Su and Wen-Xiu Ma
Additional contact information
Yu-Shan Bai: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
Peng-Xiang Su: Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
Wen-Xiu Ma: Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Mathematics, 2021, vol. 9, issue 7, 1-13

Abstract: In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given. In addition, by taking seed solutions and using the DT, exact solutions for the given NLS equations are constructed.

Keywords: classical three-component nonlinear Schrödinger equations; N-fold darboux transformation; exact solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/7/733/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/7/733/ (text/html)

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:gam:jmathe:v:9:y:2021:i:7:p:733-:d:525943

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().