Extended \(N=2\) supersymmetric matrix \((1,s)\)-KdV hierarchies. (English) Zbl 0984.37080
Summary: We propose the Lax operators for \(N=2\) supersymmetric matrix generalization of the bosonic \((1,s)\)-KdV hierarchies. The simplest examples – the \(N=2\) supersymmetric \(a=4\) KdV and \(a={5}/{2}\) Boussinesq hierarchies – are discussed in detail.
MSC:
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
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