Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation

Details Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation Infinite-dimensional symmetries of a two-dimensional generalized Burgers equation

2009-02-24

arxiv.org/abs/0902.4156v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, submitted

Scientific paper

The conditions for a generalized Burgers equation which a priori involves nine arbitrary functions of one, or two variables to allow an infinite dimensional symmetry algebra are determined. Though this algebra can involve up to two arbitrary functions of time, it does not allow a Virasoro algebra. This result confirms that variable coefficient generalizations of a non-integrable equation should be expected to remain as such.

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