45 citations · 127 across the 14 of their papers we have counts for
15 papers
Conservation laws and exact solutions of a nonlinear acoustics equation by classical symmetry reduction
Almudena del Pilar Márquez, Elena Recio, María Luz Gandarias
Symmetries and conservation laws are studied for a generalized Westervelt equation which is a nonlinear partial differential equation modelling the propagation of sound waves in a…
Lie symmetries and travelling wave solutions of the nonlinear waves in the inhomogeneous Fisher-Kolmogorov equation
M. S. Bruzón, T. M. Garrido, E. Recio +1
In this work we consider a Fisher-Kolmogorov equation depending on two exponential functions of the spatial variables. We study this equation from the point of view of symmetry red…
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…
Topological charges and conservation laws involving an arbitrary function of time for dynamical PDEs
Stephen C. Anco, Elena Recio
Dynamical PDEs that have a spatial divergence form possess conservation laws that involve an arbitrary function of time. In one spatial dimension, such conservation laws are shown…
Travelling wave solutions on a non-zero background for the generalized Korteweg-de Vries equation
Stephen C. Anco, HamidReza Nayeri, Elena Recio
For the generalized -power Korteweg-de Vries equation, all non-periodic travelling wave solutions with non-zero boundary conditions are explicitly classified for all integer pow…