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- Title
Nonlocal symmetries and the nth finite symmetry transformation or AKNS system.
- Authors
Hao, Xiazhi; Liu, Yinping; Tang, Xiaoyan; Li, Zhibin; Ma, Wen-Xiu
- 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.
- Subjects
PSEUDOPOTENTIAL method; LIE algebras; POTENTIAL theory (Physics); ABSTRACT algebra; MATHEMATICAL variables
- Publication
Modern Physics Letters B, 2018, Vol 32, Issue 27, pN.PAG
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984918503323