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Nonlocal Symmetry and Bäcklund Transformation of a Negative-Order Korteweg–de Vries Equation
Joint Authors
Fei, Jinxi
Cao, Weiping
Ma, Zhengyi
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The residual symmetry of a negative-order Korteweg–de Vries (nKdV) equation is derived through its Lax pair.
Such residual symmetry can be localized, and the original nKdV equation is extended into an enlarged system by introducing four new variables.
By using Lie’s first theorem, we obtain the finite transformation for the localized residual symmetry.
Furthermore, we localize the linear superposition of multiple residual symmetries and construct n-th Bäcklund transformation for this nKdV equation in the form of the determinants.
American Psychological Association (APA)
Fei, Jinxi& Cao, Weiping& Ma, Zhengyi. 2019. Nonlocal Symmetry and Bäcklund Transformation of a Negative-Order Korteweg–de Vries Equation. Complexity،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1132130
Modern Language Association (MLA)
Fei, Jinxi…[et al.]. Nonlocal Symmetry and Bäcklund Transformation of a Negative-Order Korteweg–de Vries Equation. Complexity No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1132130
American Medical Association (AMA)
Fei, Jinxi& Cao, Weiping& Ma, Zhengyi. Nonlocal Symmetry and Bäcklund Transformation of a Negative-Order Korteweg–de Vries Equation. Complexity. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1132130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132130