The differential invariant algebra for the equivalence pseudogroup of ut = uxx + f(u, ux) is generated by one invariant I11 and two invariant differentiation operators.
8 of Differential and integral equa- tions and their applications , Chapman & Hall/CRC, Boca Raton, FL, 2011
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Differential invariants for a class of diffusion equations
The differential invariant algebra for the equivalence pseudogroup of ut = uxx + f(u, ux) is generated by one invariant I11 and two invariant differentiation operators.