Symmetry analysis and conservation laws for a coupled (2Â +Â 1)-dimensional hyperbolic system

This paper aims to perform Lie symmetry analysis and Noether symmetry classification of a coupled (2 + 1)-dimensional hyperbolic system. In the Lie analysis, the principal Lie algebra which is six dimensional extends in thirteen cases. It is further shown that four main cases arise in the Noether classification with respect to the standard Lagrangian. Moreover, conservation laws are established for the cases which admit Noether point symmetries.