Symbolic computation on generalized Hopf–Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics

Considering the inhomogeneities of media, nonuniformities of boundaries and external forces, a forced Burgers model with space- and time-dependent coefficients is hereby investigated. In this paper, we perform symbolic computation and construct the generalized Hopf–Cole transformation from such a model to the standard heat equation with the relevant constraint conditions on the variable-coefficient and external-force functions. Physically …