Friday, March 15, 2013

1303.3548 (O. O. Vaneeva et al.)

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

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.
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