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arXiv · 1804.06463

Recursion Operator and B\"acklund Transformation for Super mKdV Hierarchy

A. R. Aguirre·J. F. Gomes·A. L. Retore·N. I. Spano·A. H. Zimerman
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Abstract

In this paper we consider the ${\cal N}=1$ supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine $\hat sl(2,1)$ algebra. Its B\"acklund 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 B\"acklund transformations.

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A. R. Aguirre, J. F. Gomes, A. L. Retore, N. I. Spano, A. H. Zimerman. 2018-04-17. Recursion Operator and B\"acklund Transformation for Super mKdV Hierarchy. https://arxiv.org/abs/1804.06463

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