New Solitary Wave Solutions and Stability Analysis of the Benney-Luke and the Phi-4 Equations in Mathematical Physics
No Thumbnail Available
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, we present new solitary wave solutions for the Benney-Luke equation (BLE) and Phi-4 equation (PE). The new generalized rational function method (GERFM) is used to reach such solutions. Moreover, the stability for the governing equations is investigated via the aspect of linear stability analysis. It is proved that, both the governing equations are stable. We can also solve other nonlinear system of PDEs which are involve in mathematical physics and many other branches of physical sciences with the help of this new method.
Description
Yusuf, Abdullahi/0000-0002-8308-7943
ORCID
Keywords
Benney-Luke Equation, Phi-4 Equation, Gerfm, Stability Analysis
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Ghanbari, Behzad...et al. (2019). "New solitary wave solutions and stability analysis of the Benney-Luke and the Phi-4 equations in mathematical physics", AIMS MATHEMATICS, Vol. 4, No. 6, pp. 1523-1539.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
37
Source
Volume
4
Issue
6
Start Page
1523
End Page
1539
PlumX Metrics
Citations
Scopus : 41
Captures
Mendeley Readers : 8
Google Scholar™
