Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra

Abstract

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.

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Cited by in corpus (16)

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• Odd Hamiltonian Structure for Supersymmetric Sawada - Kotera Equation
• A Novel Symmetry Constraint Of The Super cKdV System
• The Painlevé analysis for N=2 super KdV equations
• Symmetries of Supersymmetric Integrable Hierarchies of KP Type
• Dispersionless sTB
• New Nonlocal Charges in SUSY Integrable Models
• A note on real forms of the complex N=4 supersymmetric Toda chain hierarchy in real N=2 and N=4 superspaces
• Supersymmetric KP hierarchy in N=1 superspace and its N=2 reductions
• Division Algebras and Extended N=2,4,8 SuperKdVs
• Soliton and similarity solutions of N=2,4 supersymmetric equations
• N=2 Supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt Equations
• Hamiltonian structure of an operator valued extension of Super KdV equations