Deformation and (3+1)-dimensional integrable model

Science in China Series A Mathematics (Impact Factor: 0.7). 04/2012; 43(6):655-660. DOI: 10.1007/BF02908778


A suitable and effective deformation relation is derived by using the Miura transformation. In the light of this relation,
the (2 + 1)-dimensional linear heat conductive equation is deformed to a (3 + 1)-dimensional model. It is proved by standard
singularity structure analysis that the (3+1)-dimensional nonlinear equation obtained here is Painlevé integrable.

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