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

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

arxiv: 1411.0273 · v1 · pith:2BMPYJNInew · submitted 2014-11-02 · 🌊 nlin.SI

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 This is my paper

classification 🌊 nlin.SI

keywords equationsrelatedaffinealgebrasadditionalalgebracoxeterderived

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

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