Infinite-dimensional symmetries of two-dimensional generalized Burgers equations

The conditions for a class of generalized Burgers equations which a priori involve nine arbitrary functions of one or two variables to allow an infinite-dimensional symmetry algebra are determined. Although this algebra can involve up to two arbitrary functions of time, it does not allow a Virasoro subalgebra. This result reconfirms a long-standing fact that variable coefficient generalizations of a nonintegrable equation should be expected to remain as such. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456061]