2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50122We construct a deformation quantized version (ncKdV) of the KdV equation which possesses an infinite set of conserved densities. Solutions of the ncKdV are obtained from solutions of the KdV equation via a kind of Seiberg-Witten map. The ncKdV is related to a modified ncKdV equation by a noncommutative Miura transformation.10 pages, 3 figuresHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable SystemsNoncommutative Korteweg-de-Vries Equationtext