Symmetry in Nonlinear Mathematical Physics - 2009

Ekaterina Kutafina (AGH University of Science and Technology, Krakow, Poland)

Non-linear superposition for hyperbolic Burgers equation

Generalized Burgers equation with second time derivative is considered. We present a certain modification of the Cole-Hopf transformation, which allows us to construct new exact solutions from the already known ones. To illustrate the method we show how it is possible to get bi-kink solution using the trivial stationary ones.