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Showing 1 to 2 of 2 for “"Symmetries of Differential Equations"”.
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New symmetries from old: exploiting lie algebra structure to determine infinitesimal symmetries of differential equations
We give a method for using explicitly known Lie symmetries of a system of differential equations to help find more symmetries of the system. A Lie (or infinitesimal) symmetry of a system of differential equations is a transformation of its dependent and independent variables, depending on …
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Symbolic-numeric algorithms for simplifying differential systems and their application to the determination of approximate Lie symmetry algebras
… have non-trivial integrability conditions. Differential elimination methods can be applied to these systems, which involve a finite number of differentiations and eliminations to reveal hidden constraints, and form the determining equations of symmetries. Normally, such PDE systems have …