MPEJ Volume 9, No. 2, 6 pp.
Received: Jan 3, 2003. Revised: Mar 6, 2003. Accepted: Apr 22, 2003.

M.Iadh Ayari, Sahbi Ayari
An explicit separate solution for the Tzitzeica equation

ABSTRACT: In this note we present an explicit solution of the
Tzitz\'eica equation in terms of the $P$-Weierstrass function,
representing non-scattering double waves. This solution is obtained by
combining a ``nonclassical'' method and certain separation of
variables technique.