Symmetry, Pulson Solution, and Conservation Laws of the Holm-Hone Equation
Joint Authors
Huang, Yehui
Wang, Guo
Yong, Xuelin
Tian, Jing
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we focus on the Holm-Hone equation which is a fifth-order generalization of the Camassa-Holm equation.
It was shown that this equation is not integrable due to the nonexistence of a suitable Lagrangian or bi-Hamiltonian structure and negative results from Painlevé analysis and the Wahlquist-Estabrook method.
We mainly study its symmetry properties, travelling wave solutions, and conservation laws.
The symmetry group and its one-dimensional optimal system are given.
Furthermore, preliminary classifications of its symmetry reductions are investigated.
Also we derive some solitary pattern solutions and nonanalytic first-order pulson solution via the ansatz-based method.
Finally, some conservation laws for the fifth-order equation are presented.
American Psychological Association (APA)
Wang, Guo& Yong, Xuelin& Huang, Yehui& Tian, Jing. 2019. Symmetry, Pulson Solution, and Conservation Laws of the Holm-Hone Equation. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1118944
Modern Language Association (MLA)
Wang, Guo…[et al.]. Symmetry, Pulson Solution, and Conservation Laws of the Holm-Hone Equation. Advances in Mathematical Physics No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1118944
American Medical Association (AMA)
Wang, Guo& Yong, Xuelin& Huang, Yehui& Tian, Jing. Symmetry, Pulson Solution, and Conservation Laws of the Holm-Hone Equation. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1118944
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118944