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- W1969771024 abstract "This paper discusses two equations with the conditional Painlevé property. The usefulness of the singular manifold method as a tool for determining the non-classical symmetries that reduce the equations to ordinary differential equations with the Painlevé property is confirmed once more. The examples considered in this paper are particularly interesting because they have recently been proposed by other authors as counterexamples of the conjecture made by the authors that the singular manifold method allows us to identify non-classical symmetries. We demonstrate here that the conjecture still holds for these two cases as well. A detailed study of the way of solving this apparent contradiction is offered." @default.
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- W1969771024 date "1998-09-18" @default.
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- W1969771024 title "Non-classical symmetries and the singular manifold method: a further two examples" @default.
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- W1969771024 doi "https://doi.org/10.1088/0305-4470/31/37/011" @default.
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