Exact and Explicit Solutions To Nonlinear Evolution Equations Using the Division Theorem
Loading...
Files
Date
Authors
Aslan, İsmail
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
BRONZE
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this paper, we show the applicability of the first integral method, which is based on the ring theory of commutative algebra, to the regularized long-wave Burgers equation and the Gilson-Pickering equation under a parameter condition. Our method provides polynomial first integrals for autonomous planar systems. Through the established first integrals, exact traveling wave solutions are derived in a concise manner.
Description
Keywords
First integral method, Gilson-Pickering equation, Regularized long-wave Burgers equation, Traveling wave solutions, Nonlinear equations, First integral method, Nonlinear equations, Regularized long-wave Burgers equation, Gilson-Pickering equation, Traveling wave solutions
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Aslan, I. (2011). Exact and explicit solutions to nonlinear evolution equations using the division theorem. Applied Mathematics and Computation, 217(20), 8134-8139. doi:10.1016/j.amc.2011.02.098
WoS Q
Scopus Q
OpenCitations Citation Count
19
Volume
217
Issue
20
Start Page
8134
End Page
8139
PlumX Metrics
Citations
CrossRef : 9
Scopus : 34
Captures
Mendeley Readers : 4
SCOPUS™ Citations
34
checked on Apr 29, 2026
Web of Science™ Citations
34
checked on Apr 29, 2026
Page Views
1078
checked on Apr 29, 2026
Downloads
1052
checked on Apr 29, 2026
Google Scholar™
