29 citations · 86 across the 8 of their papers we have counts for
6 papers · 1 filter
The natural extension to PDEs of Lie's reduction of order algorithm for ODEs
George W. Bluman, Rafael de la Rosa
In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-bas…
Symmetry reductions of a generalized Kuramoto-Sivashinsky equation via equivalence transformations
Rafael de la Rosa, María de los Santos Bruzón
In this paper we consider a generalized Kuramoto-Sivashinsky equation. The equivalence group of the class under consideration has been constructed. This group allows us to perform…
Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations
María de los Santos Bruzón, Rafael de la Rosa, Rita Tracinà
In this paper, a family of variable-coefficient fifth-order KdV equations has been considered. By using an infinitesimal method based on the determination of the equivalence group,…
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…