Superposition of the coupled NLS and MKdV systems

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buir.contributor.authorGürses, Metin
dc.citation.epage163en_US
dc.citation.spage157en_US
dc.citation.volumeNumber98en_US
dc.contributor.authorGürses, Metinen_US
dc.contributor.authorPekcan, A.en_US
dc.date.accessioned2020-01-27T11:06:44Z
dc.date.available2020-01-27T11:06:44Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractSuperpositions 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.provenanceSubmitted 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.provenanceMade 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: 2019-06en
dc.embargo.release2021-12-01
dc.identifier.doi10.1016/j.aml.2019.06.002en_US
dc.identifier.issn0893-9659
dc.identifier.urihttp://hdl.handle.net/11693/52836
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.aml.2019.06.002en_US
dc.source.titleApplied Mathematics Lettersen_US
dc.subjectHirota equationsen_US
dc.subjectSuperposition of integrable equationsen_US
dc.subjectAblowitz–Musslimani reductionen_US
dc.subjectHirota bilinear methoden_US
dc.subjectSoliton solutionsen_US
dc.titleSuperposition of the coupled NLS and MKdV systemsen_US
dc.typeArticleen_US

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