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dc.creatorGal, Ciprian G.
dc.creatorGal, Sorin G.
dc.date2013-03-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1318
dc.identifier10.4067/S0719-06462013000100003
dc.descriptionIn the present work, we construct solutions to a Fokker-Planck type equation with real time variable and complex spatial variable, and prove some properties. The equations are obtained from the complexification of the spatial variable by two different methods. Firstly, one complexifies the spatial variable in the corresponding convolution integral in the solution, by replacing the usual sum of variables (translation) by an exponential product (rotation). Secondly, one complexifies the spatial variable directly in the corresponding evolution equation and then one searches for analytic solutions. These methods are also applied to a linear evolution equation related to the Korteweg-de Vries equation.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1318/1173
dc.sourceCUBO, A Mathematical Journal; Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal; 33–47en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 15 Núm. 1 (2013): CUBO, A Mathematical Journal; 33–47es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectFokker-Planck equationen-US
dc.subjectKorteweg-de Vries equationen-US
dc.subjectcomplex convolution integralsen-US
dc.subjectcomplex spatial variablesen-US
dc.titleOn Fokker-Planck and linearized Korteweg-de Vries type equations with complex spatial variablesen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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