Tzitzeica equation
From Wikipedia, the free encyclopedia
The Tzitzeica equation is a nonlinear partial differential equation devised by Gheorghe Țițeica in 1907 in the study of differential geometry, describing surfaces of constant affine curvature.[1] The Tzitzeica equation has also been used in nonlinear physics, being an integrable 1+1 dimensional Lorentz invariant system.[2]
On substituting
the equation becomes
.
One obtains the traveling solution of the original equation by the reverse transformation .