The Landau-Lifshitz equation, elliptic curves and the Ward transform

DOI10.1007/BF02096830zbMath0774.35071MaRDI QIDQ1801535

Lionel J. Mason, Michael A. Singer, Alan L. Carey, Keith C. Hannabuss

Publication date: 7 November 1993

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

zbMATH Keywords

holomorphic vector bundlesdressing transformationinfinite-dimensional Grassmannianfactorisation theoremSegal and Wilson's work on KdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Elliptic curves (14H52) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Cites Work

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• Twistor correspondences for the soliton hierarchies
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• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Riemann surfaces, Clifford algebras and infinite dimensional groups
• Vector Bundles Over an Elliptic Curve
• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
• Integrable and solvable systems, and relations among them

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