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On generalized nonlinear Burgers’ equation. (English) Zbl 1240.35432

Summary: In this work, we study the similarity analysis of the generalized nonlinear Burgers’ equation having diffusivity and viscosity as a general function of the particle velocity. We perform the symmetry analysis and exhibit exact solutions for various forms of the diffusivity and viscosity.

MSC:

35Q51 Soliton equations
76R50 Diffusion
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
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