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

doi:10.1063/1.4919672

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

Exactly Solvable and Integrable Systems 2015-06-11 v1

Authors: 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.

Keywords

integrable equations recursion operators affine Lie algebras A^{(1)}_{r} Coxeter reduction soliton hierarchy

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@article{arxiv.1411.0273,
  title  = {Integrable equations and recursion operators related to the affine Lie algebras $A^{(1)}_{r}$},
  author = {Vladimir S. Gerdjikov and Dimitar M. Mladenov and Aleksander A. Stefanov and Stanislav K. Varbev},
  journal= {arXiv preprint arXiv:1411.0273},
  year   = {2015}
}

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26 pages

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

Abstract

Keywords

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