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A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-07
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
An integrable family of the different-difference equations is derived from a discrete matrix spectral problem by the discrete zero curvature representation.
Hamiltonian structure of obtained integrable family is established.
Liouville integrability for the obtained family of discrete Hamiltonian systems is proved.
Based on the gauge transformation between the Lax pair, a Darboux-Bäcklund transformation of the first nonlinear different-difference equation in obtained family is deduced.
Using this Darboux-Bäcklund transformation, an exact solution is presented.
American Psychological Association (APA)
Xu, Xi-Xiang& Xu, Meng. 2018. A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1152559
Modern Language Association (MLA)
Xu, Xi-Xiang& Xu, Meng. A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1152559
American Medical Association (AMA)
Xu, Xi-Xiang& Xu, Meng. A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1152559
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152559