Bi-Hamiltonian structure of a generalized super Korteweg-de Vries equation. (English) Zbl 0822.35119
Summary: The bi-Hamiltonian structure is constructed for a super extension of the KdV equation. The related Miura map is recovered by a proper gauge transformation and a new spectral problem is presented for the modified system.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 37J99 | Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems |
