RT journal article
T1 Conservation laws for a generalized seventh order KdV equation
A1 Bruzón Gallego, María de los Santos
A1 Márquez Lozano, Almudena del Pilar
A1 Garrido Letrán, Tamara María
A1 Recio Rodríguez, Elena
A1 Rosa Silva, Rafael de la
A2 Matemáticas
K1 Partial differential equations
K1 Multiplier method
K1 Conservation laws
K1 First integrals
AB 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 dependingon seven arbitrary nonzero parameters. We apply the Lie method in order to classify all point symmetries admitted by the equation in terms of the arbitrary parameters. We find that there are no special cases of the parameters for which the equation admits extrasymmetries, other than those that can be found by inspection (scaling symmetry and space and time translation symmetries). We consider the reduced ordinary differential equationsand we determined all integrating factors of the reduced equation from the combined x- and t- translation symmetries. Finally, we observe that all integrating factors arise by reduction of the low-order multipliers of the generalized seventh-order KdV equation.
PB Elsevier
SN 0377-0427
YR 2019
FD 2019
LK http://hdl.handle.net/10498/30819
UL http://hdl.handle.net/10498/30819
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 21-sep-2026