Generalized N=4 supersymmetric Toda lattice hierarchy and N=4 superintegrable mapping

Details Generalized N=4 supersymmetric Toda lattice hierarchy and N=4 superintegrable mapping Generalized N=4 supersymmetric Toda lattice hierarchy and N=4 superintegrable mapping

2006-12-29

arxiv.org/abs/nlin/0612064v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

1+13 pages; Latex

Scientific paper

It is shown that the one-dimensional generalized N=4 supersymmetric Toda lattice (TL) hierarchy (nlin.Si/0311030) contains the N=4 super-KdV hierarchy with the first flow time in the role of space coordinate. Two different N=2 superfield forms of the generalized N=4 supersymmetric TL equation, which are useful when solving the N=4 super-KdV and (1,1)-GNLS hierarchies, are discussed.

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