Nonlocal Symmetries and the nth Finite Symmetry Transformation or AKNS System

Authors

Xiazhi Hao, East China Normal University
Yinping Liu, East China Normal University
Xiaoyan Tang, East China Normal University
Zhibin Li, East China Normal University
Wen-Xiu Ma, University of South FloridaFollow

Document Type

Article

Publication Date

2018

Keywords

Nonlocal symmetries, pseudopotentials, Lie point symmetries, the nth finite symmetry transformation

Digital Object Identifier (DOI)

https://doi.org/10.1142/S0217984918503323

Abstract

In this paper, by introduction of pseudopotentials, the nonlocal symmetry is obtained for the Ablowitz–Kaup–Newell–Segur system, which is used to describe many physical phenomena in different applications. Together with some auxiliary variables, this kind of nonlocal symmetry can be localized to Lie point symmetry and the corresponding once finite symmetry transformation is calculated for both the original system and the prolonged system. Furthermore, the nth finite symmetry transformation represented in terms of determinant and exact solutions are derived.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Modern Physics Letters B, v. 32, issue 27, art. 1850332

Scholar Commons Citation

Hao, Xiazhi; Liu, Yinping; Tang, Xiaoyan; Li, Zhibin; and Ma, Wen-Xiu, "Nonlocal Symmetries and the nth Finite Symmetry Transformation or AKNS System" (2018). Mathematics and Statistics Faculty Publications. 96.
https://digitalcommons.usf.edu/mth_facpub/96