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math-ph2012★ 17 cited
Nonlocal symmetries of Riccati and Abel chains and their similarity reductions
M. S. Bruzon, M. L. Gandarias, M. Senthilvelan
We study nonlocal symmetries and their similarity reductions of Riccati and Abel chains. Our results show that all the equations in Riccati chain share the same form of nonlocal sy…
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…