Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5061
Title: Exact and explicit solutions to nonlinear evolution equations using the division theorem
Authors: Aslan, İsmail
Keywords: First integral method
Gilson-Pickering equation
Regularized long-wave Burgers equation
Traveling wave solutions
Nonlinear equations
Issue Date: Jun-2011
Publisher: Elsevier Ltd.
Source: 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
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.
URI: https://doi.org/10.1016/j.amc.2011.02.098
http://hdl.handle.net/11147/5061
ISSN: 0096-3003
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5061.pdfMakale180.35 kBAdobe PDFThumbnail
View/Open
Show full item record



CORE Recommender

SCOPUSTM   
Citations

33
checked on Mar 2, 2024

WEB OF SCIENCETM
Citations

34
checked on Feb 26, 2024

Page view(s)

172
checked on Feb 26, 2024

Download(s)

384
checked on Feb 26, 2024

Google ScholarTM

Check




Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.