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CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
It is proved that the modified Boussinesq equation is consistent Riccati expansion (CRE) solvable; two types of special soliton-cnoidal wave interaction solution of the equation are explicitly given, which is difficult to be found by other traditional methods.
Moreover, the nonlocal symmetry related to the consistent tanh expansion (CTE) and the residual symmetry from the truncated Painlevé expansion, as well as the relationship between them, are obtained.
The residual symmetry is localized after embedding the original system in an enlarged one.
The symmetry group transformation of the enlarged system is derived by applying the Lie point symmetry approach.
American Psychological Association (APA)
Cheng, Wen-guang& Li, Biao. 2016. CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095841
Modern Language Association (MLA)
Cheng, Wen-guang& Li, Biao. CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation. Advances in Mathematical Physics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1095841
American Medical Association (AMA)
Cheng, Wen-guang& Li, Biao. CRE Solvability, Exact Soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095841
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095841