New Solitary Wave Solutions and Stability Analysis of the Benney-Luke and the Phi-4 Equations in Mathematical Physics
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
Influence
Top 10%
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Top 10%
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, Phi-4 equation, Benney-Luke equation, GERFM, QA1-939, stability analysis, Mathematics, KdV equations (Korteweg-de Vries equations), Soliton solutions
Fields of Science
0103 physical sciences, 01 natural sciences
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
40
Source
AIMS Mathematics
Volume
4
Issue
6
Start Page
1523
End Page
1539
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Citations
Scopus : 39
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Mendeley Readers : 8
SCOPUS™ Citations
41
checked on Feb 24, 2026
Web of Science™ Citations
37
checked on Feb 24, 2026
Page Views
3
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