Nonlocal symmetries and the nth finite symmetry transformation or AKNS system

Xiazhi Hao; Yinping Liu; Xiaoyan Tang; Zhibin Li; Wen Xiu Ma

doi:10.1142/S0217984918503323

Nonlocal symmetries and the nth finite symmetry transformation or AKNS system

Xiazhi Hao, Yinping Liu, Xiaoyan Tang, Zhibin Li, Wen Xiu Ma

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	1850332
Journal	Modern Physics Letters B
Volume	32
Issue number	27
DOIs	https://doi.org/10.1142/S0217984918503323
State	Published - 30 Sep 2018

Keywords

Lie point symmetries
Nonlocal symmetries
pseudopotentials
the nth finite symmetry transformation

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10.1142/S0217984918503323

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title = "Nonlocal symmetries and the nth finite symmetry transformation or AKNS system",

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.",

keywords = "Lie point symmetries, Nonlocal symmetries, pseudopotentials, the nth finite symmetry transformation",

author = "Xiazhi Hao and Yinping Liu and Xiaoyan Tang and Zhibin Li and Ma, \{Wen Xiu\}",

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T1 - Nonlocal symmetries and the nth finite symmetry transformation or AKNS system

AU - Hao, Xiazhi

AU - Liu, Yinping

AU - Tang, Xiaoyan

AU - Li, Zhibin

AU - Ma, Wen Xiu

PY - 2018/9/30

Y1 - 2018/9/30

N2 - 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.

AB - 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.

KW - Lie point symmetries

KW - Nonlocal symmetries

KW - pseudopotentials

KW - the nth finite symmetry transformation

UR - https://www.scopus.com/pages/publications/85053717604

U2 - 10.1142/S0217984918503323

DO - 10.1142/S0217984918503323

M3 - 文章

AN - SCOPUS:85053717604

SN - 0217-9849

VL - 32

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 27

M1 - 1850332

ER -

Nonlocal symmetries and the nth finite symmetry transformation or AKNS system

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Keywords

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