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

Vladimir S. Gerdjikov, Dimitar M. Mladenov, Aleksander A. Stefanov +1

We have derived a family of equations related to the untwisted affine Lie algebras $A_r^{(1)}$ using a Coxeter ${\mathbb{Z}}_{r+1}$ reduction. They represent the third member of th…