Displaying similar documents to “Symmetries and solvability of linear differential equations.”

A Computer Algebra Application to Determination of Lie Symmetries of Partial Differential Equations

Pulov, Vladimir, Chacarov, Edy, Uzunov, Ivan (2007)

Serdica Journal of Computing

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The paper has been presented at the 12th International Conference on Applications of Computer Algebra, Varna, Bulgaria, June, 2006 A MATHEMATICA package for finding Lie symmetries of partial differential equations is presented. The package is designed to create and solve the associated determining system of equations, the full set of solutions of which generates the widest permissible local Lie group of point symmetry transformations. Examples illustrating the functionality...

On formal theory of differential equations. III.

Jan Chrastina (1991)

Mathematica Bohemica

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Elements of the general theory of Lie-Cartan pseudogroups (including the intransitive case) are developed within the framework of infinitely prolonged systems of partial differential equations (diffieties) which makes it independent of any particular realizations by transformations of geometric object. Three axiomatic approaches, the concepts of essential invariant, subgroup, normal subgroup and factorgroups are discussed. The existence of a very special canonical composition series...

A geometric classification of Lie groups.

Nicholas T. Varopoulos (2000)

Revista Matemática Iberoamericana

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This paper is part of a general program that was originally designed to study the Heat diffusion kernel on Lie groups.

Truncated Lie groups and almost Klein models

Georges Giraud, Michel Boyom (2004)

Open Mathematics

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We consider a real analytic dynamical system G×M→M with nonempty fixed point subset M G. Using symmetries of G×M→M, we give some conditions which imply the existence of transitive Lie transformation group with G as isotropy subgroup.