Valentyn TYCHYNIN 1  and Olga PETROVA 2
1Prydniprovs'ka State Academy of Civil Engineering and Architecture,
 24a Chernyshevsky Str.,
 49005 Dnipropetrovsk,
 UKRAINE
       and
2Dnipropetrovsk National University,
 13 Naukovyi Provulok,
 49050 Dnipropetrovsk,
 UKRAINE
E-mail: tychynin@mail.pgasa.dp.ua, tychynin@ukr.net

Nonlocal symmetries and generation of solutions of nonlinear heat equations

Abstract:
New nonlocal symmetries and formulae of generation of solutions for the Burgers equation and the nonlinear heat equation u0 - (u - 2u1)1 = 0 are obtained by means of using nonlocal symmetries of the linear heat equation. We construct exact solutions of the Burgers equation with the above formulae and  the nonlocal superposition principle.