23
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Symmetry analysis, exact solutions and conservation laws of 3D Zakharov-Kuznetsov (ZK) equation

&
Pages 2553-2563 | Received 01 Mar 2021, Published online: 12 Sep 2022

References

  • M.S. Bruzón, A.P. Márquez, T.M. Garrido, E. Recio, R. de la Rosa, Conservation laws for a generalized seventh order KdV equation, Journal of Computational and Applied Mathematics, 354 (2019) 682-688. doi: 10.1016/j.cam.2018.11.019
  • T. Goitsemang, D.M. Mothibi, B. Muatjetjeja, T.G. Motsumi, Symmetry analysis and conservation laws of a further modified 3D Zakharov-Kuznetsov equation, Results in Physics, 19 (2020) 103401. doi: 10.1016/j.rinp.2020.103401
  • O.P. Porogo, B. Muatjetjeja, A.R. Adem, Variational approach and exact solutions for a generalized coupled Zakharov–Kuznetsov system, Computers & Mathematics with Applications, 73, (2017) 864-872. doi: 10.1016/j.camwa.2017.01.011
  • A.R. Adem, B. Muatjetjeja, Conservation laws and exact solutions for a 2D Zakharov-Kuznetsov equation, Applied Mathematics Letters, 48 (2015) 109-117. doi: 10.1016/j.aml.2015.03.019
  • R. Conte, M.L. Gandarias, Analytic study of a coupled Kerr-SBS system, Commun Nonlinear Sci Numer Simulat. 42 (2017) 146-157. doi: 10.1016/j.cnsns.2016.05.008
  • Z. Zhao, Bo Han, Lie symmetry analysis of the Heisenberg equation, Commun Nonlinear Sci Numer Simulat. 45(2017) 220-234. doi: 10.1016/j.cnsns.2016.10.008
  • M.L. Wang, Y.B. Zhou and Z.B. Li, Application of a homogeneous balance method to exact solution of nonlinear equations in mathematical physics, Physics. Lett. A. 216 (1996) 67-75. doi: 10.1016/0375-9601(96)00283-6
  • S.Y. Lou, J.Z. Lu, Special solutions from the variable separation approach: the Davey-Stewartson equation, J. Phys. A: Math. Gen. 29 (1996) 4209-4215. doi: 10.1088/0305-4470/29/14/038
  • E.M.E. Zayed and K.A. Gepreel, The modified(/)G'G-expansion method and its applications to construct exact solutions for nonlinear PDEs, WSEAS Trans. Math. 10 (2011) 270-278.
  • K.A. Gepreel, Exact solutions for nonlinear PDEs with the variable coefficients in mathematical physics, J. Informa. Comput. Sci. 6 (2011) 3-14.
  • N. A. Larkin, Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain, arXiv:1411.7307v1 [math.AP] 26 Nov 2014
  • D.J. Korteweg, G. de Vries, On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves, Phil. Mag. 39 (1895) 422-443. doi: 10.1080/14786449508620739

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.