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On the differential invariants of a family of diffusion equations

M. Torrisi·R. Tracinà
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Abstract

The equivalence transformation algebra $L_{\cal E}$ for the class of equations $u_t -u_{xx}=f(u, u_x) $ is obtained. After getting the differential invariants with respect to $L_{\cal E}$, some results which allow to linearize a subclass of equations are showed. Equations like the standard deterministic KPZ equation fall in this subclass.

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M. Torrisi, R. Tracinà. 2004-02-13. On the differential invariants of a family of diffusion equations. https://doi.org/10.1088/0305-4470%2F38%2F34%2F006

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