New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies

Details New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies

1996-09-24

arxiv.org/abs/hep-th/9609191v2

Phys.Lett. A231 (1997) 75-81

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX, some signs and coefficients corrected and references added

Scientific paper

10.1016/S0375-9601(97)00321-6

We construct a new variety of $N=2$ supersymmetric integrable systems by junction of pseudo-differential superspace Lax operators for $a=4$, $N=2$ KdV and multi-component $N=2$ NLS hierarchies. As an important particular case, we obtain Lax operator for $N=4$ super KdV system. A similar extension of one of $N=2$ super Boussinesq hierarchies is given. We also present a minimal $N=4$ supersymmetric extension of the second flow of $N=4$ KdV hierarchy and comment on its possible integrability.

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