We relate Kaptsov's method of B-determining equations for nding invariant solutions of PDEs to the nonclassical method and to the method of generalised conditional symmetries. An extension of Kaptsov's method is then used to nd new solutions of degenerate diusion equations.
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Citation
This article was originally published as Goard, JM, The method of generalised conditional symmetries and its various implementations, European Journal of Applied Mathematics, 11, 2000, 215-224. Copyright Cambridge University Press. Original journal available here.