dc.contributor.author | Kangalgil F. | |
dc.contributor.author | Ayaz F. | |
dc.date.accessioned | 2019-07-27T12:10:23Z | |
dc.date.accessioned | 2019-07-28T09:31:16Z | |
dc.date.available | 2019-07-27T12:10:23Z | |
dc.date.available | 2019-07-28T09:31:16Z | |
dc.date.issued | 2010 | |
dc.identifier.issn | 2193567X | |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/5152 | |
dc.description | Springer Verlag | en_US |
dc.description.abstract | The main aim of this paper is to demonstrate the feasibility and validity of the differential transform method, namely DTM. Therefore, the method has been applied to solve Hirota-Satsuma coupled KdV and coupled mKdV equations with initial conditions of two types. Hence, soliton solutions have been obtained easily as in [9]. The DTM method is based on the Taylor series, but the series coefficients are calculated in an iterative manner by the help of T-transform. For many applications, series converges very quickly and closed form solutions can be reached. In the present work, illustrative examples have showed that the method provides a sequence of functions which converge to the exact solution of the aforementioned systems. | en_US |
dc.description.sponsorship | Kangalgil, F.; Department of Mathematics, Cumhuriyet University, Faculty of Arts and Sciences, 58140 Sivas, Turkey; email: fkangalgil@gazi.edu.tr | en_US |
dc.language.iso | eng | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Coupled KdV | en_US |
dc.subject | Coupled mKdV equations | en_US |
dc.subject | Solitary wave solutions | en_US |
dc.subject | Two-dimensional differential transform method | en_US |
dc.title | Solitary wave solutions for Hirota-Satsuma coupled KdV equation and coupled mKdV equation by differential transform method Figen Kangalgil and Fatma Ayaz | en_US |
dc.type | article | en_US |
dc.relation.journal | Arabian Journal for Science and Engineering | en_US |
dc.contributor.department | Kangalgil, F., Department of Mathematics, Cumhuriyet University, Faculty of Arts and Sciences, 58140 Sivas, Turkey -- Ayaz, F., Department of Mathematics, Gazi University, Faculty of Arts and Sciences, Teknik-okullar, 06500 Ankara, Turkey | en_US |
dc.identifier.volume | 35 | en_US |
dc.identifier.issue | 2 D | en_US |
dc.identifier.endpage | 214 | en_US |
dc.identifier.startpage | 203 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |