Exact and Explicit Solutions To Nonlinear Evolution Equations Using the Division Theorem
| dc.contributor.author | Aslan, İsmail | |
| dc.coverage.doi | 10.1016/j.amc.2011.02.098 | |
| dc.date.accessioned | 2017-03-15T11:14:32Z | |
| dc.date.available | 2017-03-15T11:14:32Z | |
| dc.date.issued | 2011 | |
| dc.description.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. | en_US |
| dc.identifier.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 | en_US |
| dc.identifier.doi | 10.1016/j.amc.2011.02.098 | en_US |
| dc.identifier.doi | 10.1016/j.amc.2011.02.098 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.scopus | 2-s2.0-79956152177 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2011.02.098 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5061 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd. | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | First integral method | en_US |
| dc.subject | Gilson-Pickering equation | en_US |
| dc.subject | Regularized long-wave Burgers equation | en_US |
| dc.subject | Traveling wave solutions | en_US |
| dc.subject | Nonlinear equations | en_US |
| dc.title | Exact and Explicit Solutions To Nonlinear Evolution Equations Using the Division Theorem | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Aslan, İsmail | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 8139 | en_US |
| gdc.description.issue | 20 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 8134 | en_US |
| gdc.description.volume | 217 | en_US |
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| gdc.oaire.keywords | First integral method | |
| gdc.oaire.keywords | Nonlinear equations | |
| gdc.oaire.keywords | Regularized long-wave Burgers equation | |
| gdc.oaire.keywords | Gilson-Pickering equation | |
| gdc.oaire.keywords | Traveling wave solutions | |
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