Transformation properties of a variable-coefficient Burgers equation
Date
2004Source
Chaos, Solitons and FractalsVolume
20Issue
5Pages
1047-1057Google Scholar check
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In this paper we consider the variable coefficient equation u t=b(t)uux+a(t)uxx which among other applications has considerable interest in nonlinear acoustics. We present transformation properties of this generalised equation. In particular, we classify the Lie classical symmetries, the nonclassical symmetries, the potential symmetries, point and potential form preserving transformations. Finally, using these transformations we give examples of exact solutions. © 2003 Elsevier Ltd. All rights reserved.