Abstract
We consider a family of nonlinear diffusion equations with nonlinear sources. We assume that all nonlinearities are polynomials with respect to a dependent variable. The traveling wave reduction of this family of equations is an equation of the Lienard-type. Applying recently obtained criteria for integrability of Lienard-type equations we find some new integrable families of traveling wave reductions of nonlinear diffusion equations as well as their general analytical solutions.
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