46 citations · 235 across the 24 of their papers we have counts for
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On symmetries and conservation laws of a Gardner equation involving arbitrary functions
Rafael de la Rosa, María Luz Gandarias, María de los Santos Bruzón
In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by u…
Symmetries and conservation laws of a fifth-order KdV equation with time-dependent coefficients and linear damping
Rafael de la Rosa, María Luz Gandarias, María de los Santos Bruzón
A fifth-order KdV equation with time dependent coefficients and linear damping has been studied. Symmetry groups have several different applications in the context of nonlinear dif…
Equivalence transformations and conservation laws for a generalized variable-coefficient Gardner equation
Rafael de la Rosa, María Luz Gandarias, María de los Santos Bruzón
In this paper we study the generalized variable-coefficient Gardner equations of the form . This class broadens ou…
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…