Victor ROBUK
Laboratory of Information Technologies,
Joint Institute for Nuclear Research,
141980 Dubna,
RUSSIA
     and
Electro-Physical Scientific & Technical Centre of NAS of Ukraine,
Kharkiv, UKRAINE
E-mail: robuk@jinr.ru

Generalization of Cole-Hopf substitution for Burgers equation with a source

Abstract:
An analog of Cole-Hopf substitution has been constructed for Burgers equation with a geterogeneous variable function of the source (we mean a wide class of various functions of the source). A wide class of new solutions has been obtained for Burgers equation.