Algebraic construction of integrable and super integrable hierarchies
H. Aratyn, J.F. Gomes, A.H. Zimerman
TL;DR
This paper presents a unified algebraic framework for constructing both integrable and super integrable hierarchies using affine Lie algebras, including explicit examples like N=2 super mKdV and sinh-Gordon models.
Contribution
It introduces a general algebraic method for building integrable hierarchies and extends it to supersymmetric models, unifying relativistic and non-relativistic cases.
Findings
Unified algebraic construction for integrable hierarchies
Extension to supersymmetric integrable models
Explicit examples of N=2 super mKdV and sinh-Gordon
Abstract
A general construction of integrable hierarchies based on affine Lie algebras is presented. The models are specified according to some algebraic data and their time evolution is obtained from solutions of the zero curvature condition. Such framework provides an unified treatment of relativistic and non relativistic models. The extension to the construction of supersymmetric integrable hierarchies is proposed. An explicit example of N=2 super mKdV and sinh--Gordon is presented.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Nonlinear Photonic Systems