29 citations · 86 across the 8 of their papers we have counts for
8 papers
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…
Conservation laws for a generalized seventh order KdV equation
María de los Santos Bruzón, Almudena del Pilar Márquez, Tamara María Garrido +2
In this paper, by applying the multiplier method we obtain a complete classification of low-order local conservation laws for a generalized seventh-order KdV equation depending on…
Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion
María de los Santos Bruzón, Elena Recio, Tamara María Garrido +1
We provide a complete classification of point symmetries and low-order local conservation laws of the generalized quasilinear KdV equation in terms of the arbitrary function. The c…
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…