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math.AP1998★ 8 cited
Similarity reductions for a nonlinear diffusion equation
Maria Luz Gandarias, P. Venero, José Ramírez-Labrador
Similarity reductions and new exact solutions are obtained for a nonlinear diffusion equation. These are obtained by using the classical symmetry group and reducing the partial dif…
math-ph1998★ 38 cited
Classical and nonclassical symmetries of a generalized Boussinesq equation
Maria Luz Gandarias, M. S. Bruzón
We apply the Lie-group formalism and the nonclassical method due to Bluman and Cole to deduce symmetries of the generalized Boussinesq equation, which has the classical Boussinesq…