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Invariants of general linear system of two hyperbolic partial differentialequations (PDEs) are derived under transformations of the dependent andindependent variables by real infinitesimal method earlier. Here a subclass ofthe general system of linear hyperbolic PDEs is investigated for the associatedinvariants, by complex as well as real methods. The complex procedure relies onthe correspondence of systems of PDEs with the base complex equation. Complexinvariants of the base complex PDEs are shown to reveal invariants of thecorresponding systems. A comparison of all the invariant quantities obtained bycomplex and real methods for this class, is presented which shows that thecomplex procedure provides a few invariants different from those extracted byreal symmetry analysis.

Invariants for systems of two linear hyperbolic-type equations by complex methods