Ayari, M. Iadh; Ayari, Sahbi An explicit separate solution for the Tzitzeica equation. (English) Zbl 1051.35095 Math. Phys. Electron. J. 9, Paper No. 2, 6 p. (2003). By using non-classical symmetries and separation of variables, the authors give an explicit solution to the Tzitzeica equation in terms of Weierstrass \(\wp\) function. This reproduces a result of M. Musette and R. Conte [J. Phys. A, Math. Gen. 27, 3895–3913 (1994; Zbl 0843.35109)] from another approach. Reviewer: Peter Y. H. Pang (Singapore) MSC: 35Q58 Other completely integrable PDE (MSC2000) 37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions 35C05 Solutions to PDEs in closed form Keywords:Tzitzeica equation; symmetries; separation of variables; Weierstrass \(\wp\) function Citations:Zbl 0843.35109 PDFBibTeX XMLCite \textit{M. I. Ayari} and \textit{S. Ayari}, Math. Phys. Electron. J. 9, Paper No. 2, 6 p. (2003; Zbl 1051.35095) Full Text: EuDML EMIS