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The Interactions of N-Soliton Solutions for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation
Joint Authors
Wang, Xiangrong
Zhang, Xiaoen
Dong, Huanhe
Zhang, Yong
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A generalized (2+1)-dimensional variable-coefficient KdV equation is introduced, which can describe the interaction between a water wave and gravity-capillary waves better than the (1+1)-dimensional KdV equation.
The N-soliton solutions of the (2+1)-dimensional variable-coefficient fifth-order KdV equation are obtained via the Bell-polynomial method.
Then the soliton fusion, fission, and the pursuing collision are analyzed depending on the influence of the coefficient eAij; when eAij=0, the soliton fusion and fission will happen; when eAij≠0, the pursuing collision will occur.
Moreover, the Bäcklund transformation of the equation is gotten according to the binary Bell-polynomial and the period wave solutions are given by applying the Riemann theta function method.
American Psychological Association (APA)
Wang, Xiangrong& Zhang, Xiaoen& Zhang, Yong& Dong, Huanhe. 2015. The Interactions of N-Soliton Solutions for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1053041
Modern Language Association (MLA)
Wang, Xiangrong…[et al.]. The Interactions of N-Soliton Solutions for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation. Advances in Mathematical Physics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1053041
American Medical Association (AMA)
Wang, Xiangrong& Zhang, Xiaoen& Zhang, Yong& Dong, Huanhe. The Interactions of N-Soliton Solutions for the Generalized (2+1)-Dimensional Variable-Coefficient Fifth-Order KdV Equation. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1053041
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053041