Infinite - dimensional symmetries of two - dimensional generalized Burgers equations
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CitationGÜNGÖR, F. (2010). Infinite - dimensional symmetries of two - dimensional generalized Burgers equations. Journal of Mathematical Physics, 51 (7), 12p. https://dx.doi.org/10.1063/1.3456061.
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.