Intertwining Laplace Transformations of Linear Partial Differential Equations

2013/05/25 by Elena I. Ganzha, Ganzha, Elena I.
Computer Science · Mathematics · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Symbolic Computation (cs.SC) #cs.SC #math.AP

paper · pdf · doi:10.48550/arxiv.1306.1113

LaTeX, 25 pages v2: minor misprints corrected

arxiv created 2013/10/22 · arxiv updated 2013/10/23

Abstract

We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in Rⁿ. Practically all previously proposed differential transformations of LPDOs are particular cases of this transformation (intertwining Laplace transformation, ILT). We give a complete algorithm of construction of ILT and describe the classes of operators in Rⁿ suitable for this transformation. Keywords: Integration of linear partial differential equations, Laplace transformation, differential transformation

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