The sTB-B Hierarchy

Abstract

We construct a new supersymmetric two boson (sTB-B) hierarchy and study its properties. We derive the conserved quantities and the Hamiltonian structures (proving the Jacobi identity) for the system. We show how this system gives the sKdV-B equation and its Hamiltonian structures upon appropriate reduction. We also describe the zero curvature formulation of this hierarchy both in the superspace as well as in components.

15 pages, TeX

Cited by in corpus (9)

• Supersymmetric Extensions of the Harry Dym Hierarchy
• The sAKNS Hierarchy
• Dispersionless Fermionic KdV
• Interaction solutions for supersymmetric mKdV-B equation
• Dispersionless sTB
• New Nonlocal Charges in SUSY Integrable Models
• Supersymmetric KP hierarchy in N=1 superspace and its N=2 reductions
• Lagrangian Approach to Dispersionless KdV Hierarchy
• Integrable Models and the Higher Dimensional Representations of Graded Lie Algebras