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https://hdl.handle.net/11147/1967
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DC Field | Value | Language |
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dc.contributor.author | Pashaev, Oktay | - |
dc.contributor.author | Tanoğlu, Gamze | - |
dc.date.accessioned | 2016-07-22T08:23:29Z | |
dc.date.available | 2016-07-22T08:23:29Z | |
dc.date.issued | 2005-10 | |
dc.identifier.citation | Pashaev, O., and Tanoǧlu, G. (2005). Vector shock soliton and the Hirota bilinear method. Chaos, Solitons & Fractals, 26(1), 95-105. doi:10.1016/j.chaos.2004.12.021 | en_US |
dc.identifier.issn | 0960-0779 | |
dc.identifier.issn | 0960-0779 | - |
dc.identifier.uri | http://doi.org/10.1016/j.chaos.2004.12.021 | |
dc.identifier.uri | http://hdl.handle.net/11147/1967 | |
dc.description.abstract | The Hirota bilinear method is applied to find an exact shock soliton solution of the system reaction-diffusion equations for n-component vector order parameter, with the reaction part in form of the third order polynomial, determined by three distinct constant vectors. The bilinear representation is derived by extracting one of the vector roots (unstable in general), which allows us reduce the cubic nonlinearity to a quadratic one. The vector shock soliton solution, implementing transition between other two roots, as a fixed points of the potential from continuum set of the values, is constructed in a simple way. In our approach, the velocity of soliton is fixed by truncating the Hirota perturbation expansion and it is found in terms of all three roots. Shock solitons for extensions of the model, by including the second order time derivative term and the nonlinear transport term are derived. Numerical solutions illustrating generation of solitary wave from initial step function, depending of the polynomial roots are given. | en_US |
dc.description.sponsorship | 2002-IYTE-24 and 2002-IYTE-25 | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier Ltd. | en_US |
dc.relation.ispartof | Chaos, Solitons and Fractals | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Mathematical models | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Problem solving | en_US |
dc.subject | Hirota bilinear methods | en_US |
dc.title | Vector shock soliton and the Hirota bilinear method | en_US |
dc.type | Article | en_US |
dc.authorid | TR57865 | en_US |
dc.authorid | TR103234 | en_US |
dc.institutionauthor | Pashaev, Oktay | - |
dc.institutionauthor | Tanoğlu, Gamze | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.volume | 26 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 95 | en_US |
dc.identifier.endpage | 105 | en_US |
dc.identifier.wos | WOS:000229353000013 | en_US |
dc.identifier.scopus | 2-s2.0-17644427366 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1016/j.chaos.2004.12.021 | - |
dc.relation.doi | 10.1016/j.chaos.2004.12.021 | en_US |
dc.coverage.doi | 10.1016/j.chaos.2004.12.021 | en_US |
dc.identifier.wosquality | Q1 | - |
dc.identifier.scopusquality | Q1 | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.openairetype | Article | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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