1303.3548 (O. O. Vaneeva et al.)

Lie symmetries of generalized Burgers equations: application to
boundary-value problems    [PDF]

O. O. Vaneeva, C. Sophocleous, P. G. L. Leach

The goal of the present paper is twofold. The first target is to present an enhanced group classification for variable coefficient generalized Burgers equations $u_t+a(u^n)_x=g(t)u_{xx}$. In other words we complete the results existing in the literature. The second target is to show how simple is the procedure to solve boundary-value problems using Lie symmetries.

View original: http://arxiv.org/abs/1303.3548