A SYMMETRY INVARIANCE ANALYSIS OF THE MULTIPLIERS & CONSERVATION LAWS OF THE JAULENT–MIODEK AND SOME FAMILIES OF SYSTEMS OF KdV TYPE EQUATIONS

摘要

In this paper, we study and classify the conservation laws of the Jaulent–Miodek equations andnother systems of KdV type equations which arises in, inter alia, shallow water equations. The mainnfocus of the paper is the construction of the conservation laws as a consequence of the interplaynbetween symmetry generators and “multipliers” (integration factors), particularly, the higher-ordernones and the significance of the Euler operators for systems of equations.