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Symmetries for initial value problems
Affiliation:School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave, Wollongong, 2522, NSW, Australia
Abstract:In this letter we give a less restrictive condition compared to that given by Zhang and Chen (2010), for first order initial conditions to be recoverable with a particular classical or nonclassical symmetry generator. Examples are provided for the generalised Kuramoto–Sivashinsky equation and a nonlinear diffusion equation with a sink term.
Keywords:Classical symmetries  Nonclassical symmetries  Initial value problems
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