Momoniat, E.; Mahomed, F. M. The existence of contact transformations for evolution-type equations. (English) Zbl 0945.35006 J. Phys. A, Math. Gen. 32, No. 49, 8721-8730 (1999). 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 \(u_{xx},\dots,u_{(n)}\). Reviewer: Michal Marvan (Opava) Cited in 1 ReviewCited in 5 Documents MSC: 35A30 Geometric theory, characteristics, transformations in context of PDEs 35A22 Transform methods (e.g., integral transforms) applied to PDEs 35G25 Initial value problems for nonlinear higher-order PDEs Keywords:extended Lie transformations PDFBibTeX XMLCite \textit{E. Momoniat} and \textit{F. M. Mahomed}, J. Phys. A, Math. Gen. 32, No. 49, 8721--8730 (1999; Zbl 0945.35006) Full Text: DOI