Residual Symmetry Reduction and Consistent Riccati Expansion to a Nonlinear Evolution Equation
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The residual symmetry of a (1 + 1)-dimensional nonlinear evolution equation (NLEE) ut+uxxx−6u2ux+6λux=0 is obtained through Painlevé expansion.
By introducing a new dependent variable, the residual symmetry is localized into Lie point symmetry in an enlarged system, and the related symmetry reduction solutions are obtained using the standard Lie symmetry method.
Furthermore, the (1 + 1)-dimensional NLEE equation is proved to be integrable in the sense of having a consistent Riccati expansion (CRE), and some new Bäcklund transformations (BTs) are given.
In addition, some explicitly expressed solutions including interaction solutions between soliton and cnoidal waves are derived from these BTs.
American Psychological Association (APA)
Thiam, Lamine& Liu, Xi-Zhong. 2019. Residual Symmetry Reduction and Consistent Riccati Expansion to a Nonlinear Evolution Equation. Complexity،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1132494
Modern Language Association (MLA)
Thiam, Lamine& Liu, Xi-Zhong. Residual Symmetry Reduction and Consistent Riccati Expansion to a Nonlinear Evolution Equation. Complexity No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1132494
American Medical Association (AMA)
Thiam, Lamine& Liu, Xi-Zhong. Residual Symmetry Reduction and Consistent Riccati Expansion to a Nonlinear Evolution Equation. Complexity. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1132494
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132494