Multi-component AKNS systems
buir.contributor.author | Gürses, Metin | |
buir.contributor.orcid | Gürses, Metin|0000-0002-3439-3952 | |
dc.citation.epage | 103104-13 | en_US |
dc.citation.spage | 103104-[1] | |
dc.citation.volumeNumber | 117 | |
dc.contributor.author | Gürses, Metin | |
dc.contributor.author | Pekcan, A. | |
dc.date.accessioned | 2024-03-12T07:45:45Z | |
dc.date.available | 2024-03-12T07:45:45Z | |
dc.date.issued | 2022-12-31 | |
dc.department | Department of Mathematics | |
dc.description.abstract | We study two members of the multi-component AKNS hierarchy. These are multi-NLS and multi-MKdV systems. We derive the Hirota bilinear forms of these equations and obtain soliton solutions. We find all possible local and nonlocal reductions of these systems of equations and give a prescription to obtain their soliton solutions. We derive also -dimensional extensions of the multi-component AKNS systems. | |
dc.description.provenance | Made available in DSpace on 2024-03-12T07:45:45Z (GMT). No. of bitstreams: 1 Multi-component_AKNS_systems.pdf: 403280 bytes, checksum: ca5247babd1a4e22bd483877227edbe6 (MD5) Previous issue date: 2022-12-31 | en |
dc.identifier.doi | 10.1016/j.wavemoti.2022.103104 | |
dc.identifier.issn | 0165-2125 | |
dc.identifier.uri | https://hdl.handle.net/11693/114542 | |
dc.language.iso | English | |
dc.publisher | Elsevier | |
dc.relation.isversionof | https://dx.doi.org/10.1016/j.wavemoti.2022.103104 | |
dc.source.title | Wave Motion | |
dc.subject | Multi-component AKNS systems | |
dc.subject | Local and nonlocal reductions | |
dc.subject | Hirota method | |
dc.subject | Negative hierarchy | |
dc.title | Multi-component AKNS systems | |
dc.type | Article |