Odd bihamiltonian structure of new supersymmetric N=2,4 Korteweg de Vries equation and odd SUSY Virasoro-like algebra

The 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.