Transforming Radical Differential Equations to Algebraic Differential Equations
Copyright policy )Transforming Radical Differential Equations to Algebraic Differential Equations
Abstract In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknown function and its derivatives into a system with polynomial relations among them by means of a rational change of variables. The solutions of the given equation and its transformation correspond one-to-one. This work can be seen as a generalization of previous work on reparametrization of ODEs and PDEs with radical coefficients.
Mathematics - Algebraic Geometry, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Algebraic Geometry (math.AG), 12H20, 34A12, 12H05, 14E08, 68W30, Analysis of PDEs (math.AP)
Mathematics - Algebraic Geometry, Mathematics - Analysis of PDEs, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Algebraic Geometry (math.AG), 12H20, 34A12, 12H05, 14E08, 68W30, Analysis of PDEs (math.AP)
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