Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\)

DOI10.1134/S0040577920090020zbMath1456.37072arXiv2006.16323MaRDI QIDQ2215154

Iliya D. Iliev, G. P. Boyadjiev, Vladimir B. Matveev, Maxim P. Pavlov, Aleksandr Olegovich Smirnov, Vladimir S. Gerdjikov, Aleksander A. Stefanov

Publication date: 11 December 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.16323

zbMATH Keywords

recursion operatorKac-Moody algebramKDV equationhierarchy of integrable equations

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

On mKdV equations related to Kac-Moody algebras $A_5^{(1)}$ and $A_5^{(2)}$ ⋮ The mKdV-type equations related to \(A_5^{(1)}\) and \(A_5^{(2)}\) Kac-Moody algebras

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