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

2009/02/24 by F. Güngör, Gungor, F.
Chemistry · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0902.4156

openalex publication_date 2009/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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