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Zbl 0945.35006
Momoniat, E.; Mahomed, F.M.
The existence of contact transformations for evolution-type equations. (English)
[J] J. Phys. A, Math. Gen. 32, No.49, 8721-8730 (1999). ISSN 0305-4470

The authors consider $n$th order evolution equations $u_t = F(t,x,u,u_x,u_{xx},\dots,u_{(n)})$ and give an elementary proof that their contact transformations are exhausted by extended Lie transformations if $F$ is expandable as a power series in terms of the derivatives $u_{xx},\dots,u_{(n)}$.
[Michal Marvan (Opava)]

MSC 2000:: *35A30 Geometric theory for PDE, transformations
35A22 Transform methods (PDE)
35G25 Initial value problems for nonlinear higher-order PDE

Keywords: extended Lie transformations

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