On the differential invariants of a family of diffusion equations

Details On the differential invariants of a family of diffusion equations On the differential invariants of a family of diffusion equations

2004-02-13

arxiv.org/abs/nlin/0402021v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages

Scientific paper

10.1088/0305-4470/38/34/006

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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