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.