Dispersionless Fermionic KdV

Abstract

We analyze the dispersionless limits of the Kupershmidt equation, the SUSY KdV-B equation and the SUSY KdV equation. We present the Lax description for each of these models and bring out various properties associated with them as well as discuss open questions that need to be addressed in connection with these models.

15 pages

References in corpus (10)

• Integrable Hierarchies and Dispersionless Limit
• Nonperturbative Solution of the Super-Virasoro Constraints
• Nonlocal conservation laws in N=1,2 Supersymetric KdV equation
• A Lax Description for Polytropic Gas Dynamics
• Supersymmetric Two Boson Equation, Its Reductions and the Nonstandard Supersymmetric KP Hierarchy
• Properties of Nonlocal Charges in the Supersymmetric Two Boson Hierarchy
• A Lax Representation for the Born-Infeld Equation
• On a New Supersymmetric KdV Hierarchy in $2-d$ Quantum Supergravity
• Hamiltonian Structures for the Generalized Dispersionless KdV Hierarchy
• The sTB-B Hierarchy

Cited by in corpus (8)

• Supersymmetric Extensions of the Harry Dym Hierarchy
• Supersymmetric Polytropic Gas Dynamics
• Supersymmetric Moyal-Lax Representations
• Properties of Moyal-Lax Representation
• Supersymmetric formulation of the minimal surface equation: algebraic aspects
• New Nonlocal Charges in SUSY Integrable Models
• Dispersionless sTB
• Alternative dispersionless limit of N=2 supersymmetric KdV-type hierarchies