RT journal article
T1 Conservation laws and symmetry analysis of a generalized Drinfeld-Sokolov system
A1 Garrido Letrán, Tamara María
A1 Rosa Silva, Rafael de la
A1 Recio Rodríguez, Elena
A1 Márquez Lozano, Almudena del Pilar
A2 Matemáticas
K1 conservation laws
K1 conserved quantities
K1 Drinfeld-Sokolov system
K1 Lie symmetries
K1 reductions
AB The generalized Drinfeld-Sokolov system is a widely-used model that describes wave phenomena in various contexts. Many properties of this system, such as Hamiltonian formulations and integrability, have been extensively studied and exact solutions have been derived for specific cases. In this paper we applied the direct method of multipliers to obtain all low-order local conservation laws of the system. These conservation laws correspond to physical quantities that remain constant over time, such as energy and momentum, and we provided a physical interpretation for each of them. Additionally, we investigated the Lie point symmetries and first-order symmetries of the system. Through the point symmetries and constructing the optimal systems of one-dimensional subalgebras, we were able to reduce the system of partial differential equations to ordinary differential systems and obtain new solutions for the system.
PB American Institute of Mathematical Sciences
SN 2473-6988
YR 2023
FD 2023
LK http://hdl.handle.net/10498/32324
UL http://hdl.handle.net/10498/32324
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026