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- W3102005637 abstract "The notion of singular reduction operators, i.e., of singular operators of nonclassical (conditional) symmetry, of partial differential equations in two independent variables is introduced. All possible reductions of these equations to first-order ODEs are exhaustively described. As examples, properties of singular reduction operators of (1 + 1)-dimensional evolution and wave equations are studied. It is shown how to favourably enhance the derivation of nonclassical symmetries for this class by an in-depth prior study of the corresponding singular vector fields." @default.
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- W3102005637 date "2008-11-03" @default.
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- W3102005637 title "Singular reduction operators in two dimensions" @default.
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- W3102005637 doi "https://doi.org/10.1088/1751-8113/41/50/505201" @default.
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