Abstract
Nonlinear diffusion equations in the class u t − f ( x ) ∂ x ( g ( x ) C ( u ) u x ) = 0 connected with constant coefficient equations which admit nonlocal mvariance or linearization by the generalized hodograph transformation are considered. Formulae for generation of solutions and formulae of nonlinear superposition for variable coefficient equations are constructed. Exact solutions of these equations are obtained.
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