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Resonant Soliton and Soliton-Cnoidal Wave Solutions for a (3+1)-Dimensional Korteweg-de Vries-Like Equation
Joint Authors
Fei, Jinxi
Ma, Zhengyi
Chen, Jun-Chao
Zhu, Quan-Yong
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
The residual symmetry of a (3+1)-dimensional Korteweg-de Vries (KdV)-like equation is constructed using the truncated Painlevé expansion.
Such residual symmetry can be localized and the (3+1)-dimensional KdV-like equation is extended into an enlarged system by introducing some new variables.
By using Lie’s first theorem, the finite transformation is obtained for this localized residual symmetry.
Further, the linear superposition of multiple residual symmetries is localized and the n-th Bäcklund transformation in the form of the determinants is constructed for this equation.
For illustration more detail, the first three multiple wave solutions-the collisions of resonant solitons are depicted.
Finally, with the aid of the link between the consistent tanh expansion (CTE) method and the truncated Painlevé expansion, the explicit soliton-cnoidal wave interaction solution containing three kinds of Jacobian elliptic functions for this equation is derived.
American Psychological Association (APA)
Ma, Zhengyi& Fei, Jinxi& Chen, Jun-Chao& Zhu, Quan-Yong. 2019. Resonant Soliton and Soliton-Cnoidal Wave Solutions for a (3+1)-Dimensional Korteweg-de Vries-Like Equation. Complexity،Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1132821
Modern Language Association (MLA)
Ma, Zhengyi…[et al.]. Resonant Soliton and Soliton-Cnoidal Wave Solutions for a (3+1)-Dimensional Korteweg-de Vries-Like Equation. Complexity No. 2019 (2019), pp.1-11.
https://search.emarefa.net/detail/BIM-1132821
American Medical Association (AMA)
Ma, Zhengyi& Fei, Jinxi& Chen, Jun-Chao& Zhu, Quan-Yong. Resonant Soliton and Soliton-Cnoidal Wave Solutions for a (3+1)-Dimensional Korteweg-de Vries-Like Equation. Complexity. 2019. Vol. 2019, no. 2019, pp.1-11.
https://search.emarefa.net/detail/BIM-1132821
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132821