2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179460The general method of the supersymmetrization of the soliton equations with the odd (bi) hamiltonian structure is established. New version of the supersymmetric N=2,4 (Modified) Korteweg de Vries equation is given, as an example. The second odd Hamiltonian operator of the SUSY KdV equation generates the odd N=2,4 SUSY Virasoro - like algebra.13 pages LaTeXHigh Energy Physics - TheoryExactly Solvable and Integrable Systemstext