Abstract
This study deals with the construction of conservation laws of the elliptic systems of differential equations in three independent variables. The variational approach is used, that is, the Noether point symmetries and their corresponding conserved vectors are obtained. • The systems of elliptic type equations are considered. • The elliptic systems are derived from the concept of Jordan Canonical Form. • Noether’s approach is used to determine the conservation laws. • Lagrangians and their corresponding conserved vectors are obtained.
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