Superposition of the coupled NLS and MKdV systems
buir.contributor.author | Gürses, Metin | |
dc.citation.epage | 163 | en_US |
dc.citation.spage | 157 | en_US |
dc.citation.volumeNumber | 98 | en_US |
dc.contributor.author | Gürses, Metin | en_US |
dc.contributor.author | Pekcan, A. | en_US |
dc.date.accessioned | 2020-01-27T11:06:44Z | |
dc.date.available | 2020-01-27T11:06:44Z | |
dc.date.issued | 2019 | |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | Superpositions of hierarchies of integrable equations are also integrable. The superposed equations, such as the Hirota equations in the AKNS hierarchy, cannot be considered as new integrable equations. Furthermore if one applies the Hirota bilinear method to these equations one obtains the same N-soliton solutions of the generating equation which differ only by the dispersion relations. Similar discussions can be made for the locally and nonlocally reduced equations as well. We give, as an example, AKNS system of equations in (1 + 1)-dimensions. | en_US |
dc.description.provenance | Submitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2020-01-27T11:06:44Z No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5) | en |
dc.description.provenance | Made available in DSpace on 2020-01-27T11:06:44Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5) Previous issue date: 2019-06 | en |
dc.embargo.release | 2021-12-01 | |
dc.identifier.doi | 10.1016/j.aml.2019.06.002 | en_US |
dc.identifier.issn | 0893-9659 | |
dc.identifier.uri | http://hdl.handle.net/11693/52836 | |
dc.language.iso | English | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.isversionof | https://dx.doi.org/10.1016/j.aml.2019.06.002 | en_US |
dc.source.title | Applied Mathematics Letters | en_US |
dc.subject | Hirota equations | en_US |
dc.subject | Superposition of integrable equations | en_US |
dc.subject | Ablowitz–Musslimani reduction | en_US |
dc.subject | Hirota bilinear method | en_US |
dc.subject | Soliton solutions | en_US |
dc.title | Superposition of the coupled NLS and MKdV systems | en_US |
dc.type | Article | en_US |
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