Binary Darboux-Backlund Transformations for the Manin-Radul Super KdV Hierarchy

Abstract

We construct the supersymmetric extensions of the Darboux-Backlund transformations (DBTs) for the Manin-Radul super KdV hierarchy using the super-pseudo-differential operators. The elementary DBTs are triggered by the gauge operators constructed from the wave functions and adjoint wave functions of the hierarchy. Iterating these elementary DBTs, we obtain not only Wronskian type but also binary type superdeterminant representations of the solutions.

14 pages, Revtex, no figures, some typos corrected, two references added

References in corpus (3)

• Method of Squared Eigenfunction Potentials in Integrable Hierarchies of KP Type
• Darboux Transformation for the Manin-Radul Supersymmetric KdV equation
• Crum Transformations and Wronskian Type Solutions for Supersymmetric KdV equation

Cited by in corpus (4)

• Darboux Transformation for Supersymmetric KP Hierarchies
• Darboux transformations for a twisted derivation and quasideterminant solutions to the super KdV equation
• Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures
• A Novel Symmetry Constraint Of The Super cKdV System