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Laplace-Type Semi-Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods

Laplace-Type Semi-Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods

In 1773 Laplace obtained two fundamental semiā€invariants, called Laplace invariants, for scalar linear hyperbolic partial differential equations (PDEs) in two independent variables. He utilized this in his integration theory for such equations. Recently, Tsaousi and Sophocleous studied semiā€invariants for systems of two linear hyperbolic PDEs in two independent variables. Separately, ā€¦