Abstract
Herein, the Painlevé analysis and Bäcklund transformation for the (3+1) dimensional Burger equation are presented. Using this analysis, it is shown that the equation under consideration non-integrable. But, it is under a constraint equation may be integrable. We construct the Bäcklund transformation for that equation. Similarity solutions for the mentioned equation have been obtained. Some of these solutions are completely new.
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