Dispersionless sTB

Abstract

We analyze the dispersionless limits of the SUSY TB-B (sTB-B) and the SUSY TB (sTB) hierarchies. We present the Lax description for each of these models, as well as the N=2 sTB hierarchy and bring out various properties associated with them. We also discuss open questions that need to be addressed in connection with these models.

Latex 15 pages

References in corpus (7)

• A Lax Description for Polytropic Gas Dynamics
• Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra
• A Lax Representation for the Born-Infeld Equation
• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• Dispersionless Fermionic KdV
• On the Integrable Hierarchies Associated With N=2 Super $W_n$ Algebra
• The sTB-B Hierarchy

Cited by in corpus (5)

• Supersymmetric Extensions of the Harry Dym Hierarchy
• Supersymmetric Polytropic Gas Dynamics
• Supersymmetric Moyal-Lax Representations
• Properties of Moyal-Lax Representation
• Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies