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Búrgers equation describes a lot of phenomena in physics fields, and it has attracted much attention. In this paper, the Burgers equation is generalized to (2+1) dimensions. By means of the Painlevé analysis, the most generalized Painlevé integrable (2+1)-dimensional integrable Burgers systems are obtained. Some exact solutions of the generalized Burgers system are obtained via variable separation approach.
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Ke-Zhu et al. (2003) studied this question.
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