Symmetry multi-reduction method for partial differential equations with conservation laws
Stephen C. Anco,
Mariluz Gandarias
Abstract:For partial differential equations (PDEs) that have n ≥ 2 independent variables and a symmetry algebra of dimension at least n − 1, an explicit algorithmic method is presented for finding all symmetry-invariant conservation laws that will reduce to first integrals for the ordinary differential equation (ODE) describing symmetry-invariant solutions of the PDE. This significantly generalizes the double reduction method known in the literature. Moreover, the condition of symmetry-invariance of a conservation law … Show more
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