| dc.contributor.author | Kingston, John G. | en |
| dc.contributor.author | Sophocleous, Christodoulos | en |
| dc.creator | Kingston, John G. | en |
| dc.creator | Sophocleous, Christodoulos | en |
| dc.date.accessioned | 2019-12-02T10:36:19Z | |
| dc.date.available | 2019-12-02T10:36:19Z | |
| dc.date.issued | 1990 | |
| dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57119 | |
| dc.description.abstract | A general class of Bäcklund transformations are considered for equations of the form izy + zxx + f(z,z̄) = 0, where f(z,z̄) is a function of z = x + iy and z̄ = x - iy. The nonlinear forms of this equation that admit such transformations are completely classified and shown to exist only when f(z,z̄) = z2z̄ (the nonlinear Schrödinger equation), z ln z̄, z ln z, (z + z̄)2, or suitable combinations of these functions. The form f(z,z̄) = (z + z̄)2 leads to auto-Bäcklund transformations for the Boussinesq equation. © 1990 American Institute of Physics. | en |
| dc.source | Journal of Mathematical Physics | en |
| dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-36549104189&partnerID=40&md5=308db3ebd8893c88e0da7a977df2d68c | |
| dc.title | Bäcklund transformations for generalized nonlinear Schrödinger equations | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.description.volume | 31 | |
| dc.description.issue | 11 | |
| dc.description.startingpage | 2597 | |
| dc.description.endingpage | 2602 | |
| dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
| dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
| dc.type.uhtype | Article | en |
| dc.description.notes | <p>Cited By :3</p> | en |
| dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
| dc.gnosis.orcid | 0000-0001-8021-3548 | |
