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arXiv · 1411.0273

Integrable equations and recursion operators related to the affine Lie algebras $A^{(1)}_{r}$

Vladimir S. Gerdjikov·Dimitar M. Mladenov·Aleksander A. Stefanov·Stanislav K. Varbev
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Abstract

We have derived a family of equations related to the untwisted affine Lie algebras $A^{(1)}_{r}$ using a Coxeter $\mathbb{Z}_{r+1}$ reduction. They represent the third member of the hierarchy of soliton equations related to the algebra. We also give some particular examples and impose additional reductions.

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Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov, Stanislav K. Varbev. 2014-11-02. Integrable equations and recursion operators related to the affine Lie algebras $A^{(1)}_{r}$. https://doi.org/10.1063/1.4919672

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