Abstract
We study the functional separation of variables to the nonlinear heat equation: ut = (A(x)D(u)uxn)x + B(x)Q(u), Ax ≠ 0. Such equation arises from non-Newtonian fluids. Its functional separation of variables is studied by using the group foliation method. A classification of the equation which admits the functional separable solutions is performed. As a consequence, some solutions to the resulting equations are obtained.
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