RT journal article
T1 Lie Point Symmetries, Traveling Wave Solutions and Conservation Laws of a Non-linear Viscoelastic Wave Equation
A1 Márquez Lozano, Almudena del Pilar
A1 Bruzón Gallego, María de los Santos
A2 Matemáticas
K1 viscoelastic wave equation
K1 Lie symmetries
K1 traveling wave solutions
K1 conversation laws
AB This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory. Firstly, we apply Lie's symmetries method to the partial differential equation to classify the Lie point symmetries. Afterwards, we reduce the partial differential equation to some ordinary differential equations, by using the symmetries. Therefore, new analytical solutions are found from the ordinary differential equations. Finally, we derive low-order conservation laws, depending on the form of the damping and source terms, and discuss their physical meaning.
PB MDPI
SN 2227-7390
YR 2021
FD 2021-09
LK http://hdl.handle.net/10498/25782
UL http://hdl.handle.net/10498/25782
LA eng
NO The support of the Plan Propio de Investigacion de la Universidad de Cadiz is gratefully acknowledged. The authors also thank the referees for their suggestions to improve the quality of the paper.
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026