29 citations · 90 across the 8 of their papers we have counts for
8 papers
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…