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Non-classical symmetries and the singular manifold method: a further two examples

Non-classical symmetries and the singular manifold method: a further two examples

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 …