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期刊论文
Separation of variables of a generalized porous medium equation with nonlinear source
J. Math. Anal. Appl. 275(2002)44-59，-0001，（）：
This paper considers a general form of the porous medium equation with nonlinear source term: ut=(D(u)unx)x + F(u), n≠ 1. The functional separation of variables of this equation is studied by using the generalized conditional symmetry approach. We obtain a complete list of canonical forms for such equations which admit the functional separable solutions. As a consequence, some exact solutions to the resulting equations are constructed, and their behavior are also investigated.
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