Integrable equations and recursion operators related to the affine Lie algebras Ar(1)

DOI10.1063/1.4919672zbMath1317.35218arXiv1411.0273OpenAlexW3099032205MaRDI QIDQ5253086

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

Publication date: 4 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0273

zbMATH Keywords

Lie algebrassoliton equationsCoxeter \(\mathbb{Z}_{r+1}\) reduction

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) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

Nonlinear evolution equations related to Kac-Moody algebras $A_r^{(1)}$: spectral aspects ⋮ AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials ⋮ 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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