2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131482We construct a family of integrable hydrodynamic type systems with three independent and n>1 dependent variables in terms of solutions of linear system of PDEs with rational coefficients. We choose the existence of a pseudopotential as a criterion of integrability. In the case n=2 this family is a general solution of the classification problem for such systems. We give also an elliptic analog of this family in the case n>2.16 pages, latexAnalysis of PDEsHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systems17B80, 17B63, 32L81, 14H70text