Solutions of the extended Kadomtsev-Petviashvili-Boussinesq equation by the Hirota direct method
| dc.citation.epage | 139 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.spage | 127 | en_US |
| dc.citation.volumeNumber | 16 | en_US |
| dc.contributor.author | Pekcan, A. | en_US |
| dc.date.accessioned | 2016-02-08T10:04:08Z | |
| dc.date.available | 2016-02-08T10:04:08Z | |
| dc.date.issued | 2009 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We show that we can apply the Hirota direct method to some non-integrable equations. For this purpose, we consider the extended Kadomtsev-Petviashvili- Boussinesq (eKPBo) equation with M variable which is (uxxx-6uu x)x + a11uxx + 2ΣMk=2 a1kuxk + ΣMi,j=2aijuxixj=0, where aij = a ji are constants and xi = (x, t, y, z,⋯,x M). We will give the results for M = 3 and a detailed work on this equation for M = 4. Then we will generalize the results for any integer M > 4. © 2009 The Author(s). | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T10:04:08Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2009 | en |
| dc.identifier.doi | 10.1142/S1402925109000121 | en_US |
| dc.identifier.issn | 1402-9251 | |
| dc.identifier.uri | http://hdl.handle.net/11693/22737 | |
| dc.language.iso | English | en_US |
| dc.publisher | Taylor & Francis Asia Pacific (Singapore) | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1142/S1402925109000121 | en_US |
| dc.source.title | Journal of Nonlinear Mathematical Physics | en_US |
| dc.subject | Boussinesq equation | en_US |
| dc.subject | Exact solutions | en_US |
| dc.subject | Kadomtsev Petviashvili equation | en_US |
| dc.subject | Non - integrable equations | en_US |
| dc.subject | Solitons | en_US |
| dc.subject | The Hirota direct method | en_US |
| dc.title | Solutions of the extended Kadomtsev-Petviashvili-Boussinesq equation by the Hirota direct method | en_US |
| dc.type | Article | en_US |
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