Volume 16, Issue Supplement 1, December 2009, Pages 149 - 156
A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations
A. H. Kara
School of Mathematics and Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand Wits 2050, Johannesburg, South Africa,Abdul.Kara@wits.ac.za
Received 9 July 2009, Accepted 8 September 2009, Available Online 7 January 2021.
- 10.1142/S1402925109000376How to use a DOI?
- Symmetry invariance; Jaulent–Miodek equations; multipliers
In this paper, we study and classify the conservation laws of the Jaulent–Miodek equations and other systems of KdV type equations which arises in, inter alia, shallow water equations. The main focus of the paper is the construction of the conservation laws as a consequence of the interplay between symmetry generators and "multipliers" (integration factors), particularly, the higher-order ones and the significance of the Euler operators for systems of equations.
- © 2009 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - A. H. Kara PY - 2021 DA - 2021/01/07 TI - A Symmetry Invariance Analysis of the Multipliers & Conservation Laws of the Jaulent–Miodek and Some Families of Systems of KdV Type Equations JO - Journal of Nonlinear Mathematical Physics SP - 149 EP - 156 VL - 16 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000376 DO - 10.1142/S1402925109000376 ID - Kara2021 ER -