Construction and Separability of Nonlinear Soliton Integrable Couplings
| dc.contributor.author | Blaszak, Maciej | |
| dc.contributor.author | Szablikowski, Blazej M. | |
| dc.contributor.author | Silindir, Burcu | |
| dc.date.accessioned | 2023-06-16T12:58:52Z | |
| dc.date.available | 2023-06-16T12:58:52Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The paper is motivated by recent works of several authors, initiated by articles of Ma and Zhu [W. X. Ma, Z. N. Zhu, Constructing nonlinear discrete integrable Hamiltonian couplings, Comput. Math. Appl. 60 (2010) 2601] and Ma [W. X. Ma, Nonlinear continuous integrable Hamiltonian couplings, Appl. Math. Comput. 217 (2011) 7238], where new class of soliton systems, being nonlinear integrable couplings, was introduced. Here, we present a general construction of such class of systems and we develop the decoupling procedure, separating them into copies of underlying original equations. (C) 2012 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2012.08.028 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.scopus | 2-s2.0-84867577631 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2012.08.028 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/1052 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Inc | en_US |
| dc.relation.ispartof | Applıed Mathematıcs And Computatıon | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Integrable equations | en_US |
| dc.subject | Soliton systems | en_US |
| dc.subject | Integrable couplings | en_US |
| dc.subject | Equations | en_US |
| dc.subject | Algebras | en_US |
| dc.subject | Systems | en_US |
| dc.title | Construction and Separability of Nonlinear Soliton Integrable Couplings | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Blaszak, Maciej/0000-0002-3951-2850 | |
| gdc.author.id | Szablikowski, Blazej/0000-0002-4001-6328 | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Blaszak, Maciej; Szablikowski, Blazej M.] Adam Mickiewicz Univ, Fac Phys, PL-61614 Poznan, Poland; [Silindir, Burcu] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey | en_US |
| gdc.description.endpage | 1873 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1866 | en_US |
| gdc.description.volume | 219 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W1993125149 | |
| gdc.identifier.wos | WOS:000310504000043 | |
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| gdc.oaire.keywords | Nonlinear Sciences - Exactly Solvable and Integrable Systems | |
| gdc.oaire.keywords | FOS: Physical sciences | |
| gdc.oaire.keywords | Exactly Solvable and Integrable Systems (nlin.SI) | |
| gdc.oaire.keywords | integrable equations | |
| gdc.oaire.keywords | soliton systems | |
| gdc.oaire.keywords | integrable couplings | |
| gdc.oaire.keywords | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) | |
| gdc.oaire.keywords | Discrete version of topics in analysis | |
| gdc.oaire.keywords | Lattice dynamics; integrable lattice equations | |
| gdc.oaire.keywords | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems | |
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| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Yantır Silindir, Burcu | |
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