RT journal article
T1 Lie Symmetries and Low-Order Conservation Laws of a Family of Zakharov-Kuznetsov Equations in 2 + 1 Dimensions
A1 Bruzón Gallego, María de los Santos
A1 Garrido Letrán, Tamara María
A1 Recio Rodríguez, Elena
A1 Rosa Silva, Rafael de la
A2 Matemáticas
K1 ZK equations
K1 Lie symmetries
K1 conservation laws
AB In this work, we study a generalised(2+1)equation of the Zakharov-Kuznetsov (ZK)(m,n,k)equation involving three arbitrary functions. From the point of view of the Lie symmetry theory, we have derived all Lie symmetries of this equation depending on the arbitrary functions. Line soliton solutions have also been obtained. Moreover, we study the low-order conservation laws by applying the multiplier method. This family of equations is rich in Lie symmetries and conservation laws. Finally, when the equation is expressed in potential form, it admits a variational structure in the case when two of the arbitrary functions are linear. In addition, the corresponding Hamiltonian formulation is presented.
PB MDPI
SN 2073-8994
YR 2020
FD 2020-08
LK http://hdl.handle.net/10498/23806
UL http://hdl.handle.net/10498/23806
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026