2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94383We derive an improved fully explicit expression for the right-hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one-dimensional Schrödinger operator. Our method of "matrix elements" produces, moreover, an explicit expression for the powers of a Schrödinger-like differential operator of any order.17 pages, LaTeX, 37 KB, no figuresExactly Solvable and Integrable SystemsHigh Energy Physics - Theorytext