Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves

DOI10.1016/j.geomphys.2013.02.002zbMath1364.37148arXiv1209.2999OpenAlexW1992797997MaRDI QIDQ387737

Sergey Igonin, Gianni Manno, Vladimir Trushkov, Johan W. van de Leur

Publication date: 17 December 2013

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2999

zbMATH Keywords

infinite-dimensional Lie algebraLandau-Lifshitz equationBäcklund transformationalgebraic curveWahlquist-Estabrook prolongation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (5)

Reduction in soliton hierarchies and special points of classical \(r\)-matrices ⋮ On Lie algebras responsible for integrability of \((1+1)\)-dimensional scalar evolution PDEs ⋮ Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves ⋮ Lie algebras responsible for zero-curvature representations of scalar evolution equations ⋮ The Cauchy problem of generalized Landau-Lifshitz equation into \(S ^{n }\)

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