38 citations · 145 across the 10 of their papers we have counts for
10 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…
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…
A nonlinear generalization of the Camassa-Holm equation with peakon solutions
Stephen C. Anco, Elena Recio, Maria L. Gandarias +1
A nonlinearly generalized Camassa-Holm equation, depending an arbitrary nonlinearity power , is considered. This equation reduces to the Camassa-Holm equation when …
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…
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…