An Operator Valued Extension of the Super KdV Equations

Abstract

An extension of the Super KdV integrable system in terms of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many conserved quantities of integrable systems is presented. The approach is applied to the above described system and infinitely many conserved quantities are constructed. In a particular case they reduce to the corresponding conserved quantities of Super KdV.

Latex, 14 pages

Cited by in corpus (7)

• Bosonization of Supersymmetric KdV equation
• The Gardner Category and Non-local Conservation Laws for N=1 Super KdV
• Interaction solutions for supersymmetric mKdV-B equation
• The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of Super KdV equations
• New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods
• Supersymmetric exact sequence, heat kernel and super KdV hierarchy
• Hamiltonian structure of an operator valued extension of Super KdV equations