The Improved exp-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics
Joint Authors
Xin, Xiangpeng
Liu, Hanze
Chen, Guiying
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-04
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The exp(-Φ(ξ))-expansion method is improved by presenting a new auxiliary ordinary differential equation for Φ(ξ).
By using this method, new exact traveling wave solutions of two important nonlinear evolution equations, i.e., the ill-posed Boussinesq equation and the unstable nonlinear Schrödinger equation, are constructed.
The obtained solutions contain Jacobi elliptic function solutions which can be degenerated to the hyperbolic function solutions and the trigonometric function solutions.
The present method is very concise and effective and can be applied to other types of nonlinear evolution equations.
American Psychological Association (APA)
Chen, Guiying& Xin, Xiangpeng& Liu, Hanze. 2019. The Improved exp-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1118942
Modern Language Association (MLA)
Chen, Guiying…[et al.]. The Improved exp-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics. Advances in Mathematical Physics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1118942
American Medical Association (AMA)
Chen, Guiying& Xin, Xiangpeng& Liu, Hanze. The Improved exp-Φξ-Expansion Method and New Exact Solutions of Nonlinear Evolution Equations in Mathematical Physics. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1118942
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118942