On some hyperbolic systems of temple class

The aim of this paper is the statement of a general class of Temple systems of conservation laws that includes both the chromatography/electrophoresis like systems and the 2×2 LeRoux system that we generalize to any dimension. We show that this class actually belongs to the Temple type, and compute a complete set of strict Riemann invariants in a generic situation. As the property “the integral curve of this eigenvector is a straight line”is essentially a linear algebra property, we aim to deduce the results with simple (linear algebra) hypothesis and arguments, from the structure of the jacobian matrix.