2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194804This paper is concerned with a link between central extensions of N=2 superconformal algebra and a supersymmetric two-component generalization of the Camassa--Holm equation. Deformations of superconformal algebra give rise to two compatible bracket structures. One of the bracket structures is derived from the central extension and admits a momentum operator which agrees with the Sobolev norm of a coadjoint orbit element. The momentum operator induces via Lenard relations a chain of conserved hamiltonians of the resulting supersymmetric Camassa-Holm hierarchy.Latex, 21 pages, version to appear in J. Phys. AHigh Energy Physics - TheoryMathematical PhysicsExactly Solvable and Integrable Systemstext