Recursion Operator and Bäcklund Transformation for Super mKdV Hierarchy

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2018-01-01

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Aguirre, A. R.
Gomes, J. F. [UNESP]
Retore, A. L.
Spano, N. I. [UNESP]
Zimerman, A. H. [UNESP]

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In this paper we consider the N = 1 supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine ŝl(2,1) algebra. Its Bäcklund transformations are constructed in terms of a gauge transformation preserving the zero curvature representation. The recursion operator relating consecutive flows is derived and shown to relate their Backlund transformations.

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Springer Proceedings in Mathematics and Statistics, v. 263, p. 293-309.