Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations
| dc.citation.epage | 382 | en_US |
| dc.citation.issueNumber | 6-7 | en_US |
| dc.citation.spage | 377 | en_US |
| dc.citation.volumeNumber | 66 | en_US |
| dc.contributor.author | Ma W.-X. | en_US |
| dc.contributor.author | Pekcan, A. | en_US |
| dc.date.accessioned | 2016-02-08T09:52:09Z | |
| dc.date.available | 2016-02-08T09:52:09Z | |
| dc.date.issued | 2011 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | The Kadomtsev-Petviashvili and Boussinesq equations (u xxx - 6uu x)x - ut x ± uyy = 0, (u xxx - 6uu x)x + u xx ± u tt = 0, are completely integrable, and in particular, they possess the three-soliton solution. This article aims to expose a uniqueness property of the Kadomtsev-Petviashvili (KP) and Boussinesq equations in the integrability theory. It is shown that the Kadomtsev-Petviashvili and Boussinesq equations and their dimensional reductions are the only integrable equations among a class of generalized Kadomtsev-Petviashvili and Boussinesq equations (u x1x1x1 - 6uu x1) x1 + σ M i, j=1 a iju xixj = 0, where the a i j's are arbitrary constants and M is an arbitrary natural number, if the existence of the three-soliton solution is required. © 2011 Verlag der Zeitschrift für Naturforschung, Tübingen. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T09:52:09Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2011 | en |
| dc.identifier.issn | 0932-0784 | |
| dc.identifier.uri | http://hdl.handle.net/11693/21860 | |
| dc.language.iso | English | en_US |
| dc.source.title | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences | en_US |
| dc.subject | Hirota's Bilinear form | en_US |
| dc.subject | Integrable equations | en_US |
| dc.subject | Three-soliton condition | en_US |
| dc.title | Uniqueness of the Kadomtsev-Petviashvili and Boussinesq Equations | en_US |
| dc.type | Article | en_US |
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