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The (2+1)-dimensional Burgers equation is obtained as the equation of motion governing the surface perturbations of a shallow viscous fluid heated from below, provided the Rayleigh number of the system satifies the condition R %30. A solution to this equation is explicitly exhibited and it is argued that it describes the nonlinear evolution of a nearly one-dimensional kink. PACS number(s): 47.20. Bp, 47.35.+i The system formed by a Quid heated from below, the so-called Benard problem, has beendoi:10.1103/physreva.45.838 pmid:9907050 fatcat:4jmt4dvc4jagxgq5t7c2qjwdpu