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

preprint2014arXivOpen access

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

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