(2 + 1)-dimensional AKNS(−N) systems II

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buir.contributor.authorGürses, Metin
buir.contributor.authorPekcan, Aslı
buir.contributor.orcidGürses, Metin|0000-0002-3439-3952
buir.contributor.orcidPekcan, Aslı|0000-0003-3712-5248
dc.citation.epage105736-17en_US
dc.citation.spage1105736-1en_US
dc.citation.volumeNumber97en_US
dc.contributor.authorGürses, Metin
dc.contributor.authorPekcan, Aslı
dc.date.accessioned2022-01-28T13:30:44Z
dc.date.available2022-01-28T13:30:44Z
dc.date.issued2021-06
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn our previous work (Gürses and Pekcan, 2019, [40]) we started to investigate negative AKNS(−N) hierarchy in (2 + 1)-dimensions. We were able to obtain only the first three, N = 0, 1, 2, members of this hierarchy. The main difficulty was the nonexistence of the Hirota formulation of the AKNS(N) hierarchy for N ≥ 3. Here in this work we overcome this difficulty for N = 3, 4 and obtain Hirota bilinear forms of (2 + 1)-dimensional AKNS(−N) equations for these members. We study the local and nonlocal reductions of these systems of equations and obtain several new integrable local and nonlocal equations in (2 + 1)- dimensions. We also give one-, two-, and three-soliton solutions of the reduced equationsen_US
dc.description.provenanceSubmitted by Samet Emre (samet.emre@bilkent.edu.tr) on 2022-01-28T13:30:44Z No. of bitstreams: 1 (2_+_1)-dimensional_AKNS(−N)_systems_II.pdf: 3533068 bytes, checksum: b679b0d7f135207cb0036933024b58c9 (MD5)en
dc.description.provenanceMade available in DSpace on 2022-01-28T13:30:44Z (GMT). No. of bitstreams: 1 (2_+_1)-dimensional_AKNS(−N)_systems_II.pdf: 3533068 bytes, checksum: b679b0d7f135207cb0036933024b58c9 (MD5) Previous issue date: 2021-06en
dc.embargo.release2023-06-30
dc.identifier.doi10.1016/j.cnsns.2021.105736en_US
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/11693/76888
dc.language.isoEnglishen_US
dc.publisherElsevier BVen_US
dc.relation.isversionofhttps://doi.org/10.1016/j.cnsns.2021.105736en_US
dc.source.titleCommunications in Nonlinear Science and Numerical Simulationen_US
dc.subjectAblowitz-Musslimani type of reductionsen_US
dc.subject(2 + 1)-dimensional negative AKNS systemsen_US
dc.subjectHirota methoden_US
dc.subjectSoliton solutionsen_US
dc.title(2 + 1)-dimensional AKNS(−N) systems IIen_US
dc.typeArticleen_US

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