Recursion Operator and B\"acklund Transformation for Super mKdV Hierarchy
Exactly Solvable and Integrable Systems
2018-12-04 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper we consider the supersymmetric mKdV hierarchy composed of positive odd flows embedded within an affine 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.
Cite
@article{arxiv.1804.06463,
title = {Recursion Operator and B\"acklund Transformation for Super mKdV Hierarchy},
author = {A. R. Aguirre and J. F. Gomes and A. L. Retore and N. I. Spano and A. H. Zimerman},
journal= {arXiv preprint arXiv:1804.06463},
year = {2018}
}
Comments
17 pages. Version accepted for publication in the Proceedings of the X International Symposium Quantum Theory and Symmetries and XII International Worshop Lie Theory and Its Applications in Physics