Solutions of the extended Kadomtsev-Petviashvili-Boussinesq equation by the Hirota direct method

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dc.citation.epage139en_US
dc.citation.issueNumber2en_US
dc.citation.spage127en_US
dc.citation.volumeNumber16en_US
dc.contributor.authorPekcan, A.en_US
dc.date.accessioned2016-02-08T10:04:08Z
dc.date.available2016-02-08T10:04:08Z
dc.date.issued2009en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe show that we can apply the Hirota direct method to some non-integrable equations. For this purpose, we consider the extended Kadomtsev-Petviashvili- Boussinesq (eKPBo) equation with M variable which is (uxxx-6uu x)x + a11uxx + 2ΣMk=2 a1kuxk + ΣMi,j=2aijuxixj=0, where aij = a ji are constants and xi = (x, t, y, z,⋯,x M). We will give the results for M = 3 and a detailed work on this equation for M = 4. Then we will generalize the results for any integer M > 4. © 2009 The Author(s).en_US
dc.identifier.doi10.1142/S1402925109000121en_US
dc.identifier.issn1402-9251
dc.identifier.urihttp://hdl.handle.net/11693/22737
dc.language.isoEnglishen_US
dc.publisherTaylor & Francis Asia Pacific (Singapore)en_US
dc.relation.isversionofhttp://dx.doi.org/10.1142/S1402925109000121en_US
dc.source.titleJournal of Nonlinear Mathematical Physicsen_US
dc.subjectBoussinesq equationen_US
dc.subjectExact solutionsen_US
dc.subjectKadomtsev Petviashvili equationen_US
dc.subjectNon - integrable equationsen_US
dc.subjectSolitonsen_US
dc.subjectThe Hirota direct methoden_US
dc.titleSolutions of the extended Kadomtsev-Petviashvili-Boussinesq equation by the Hirota direct methoden_US
dc.typeArticleen_US

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