GROUP THEORETIC FORMULATION OF THE SEGAL-WILSON APPROACH TO INTEGRABLE SYSTEMS WITH APPLICATIONS

DOI10.1142/S0129055X92000121zbMath0782.35069OpenAlexW2071854536MaRDI QIDQ4024406

Robert Schrader, Martin Ulrich Schmidt, Guido Haak

Publication date: 19 April 1993

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

Full work available at URL: https://doi.org/10.1142/s0129055x92000121

zbMATH Keywords

Maurer-Cartan equationPicard varietyalgebraic geometric discussionconstruction of commuting flows

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamics induced by flows and semiflows (37C10) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (8)

On the Birkhoff factorization problem for the Heisenberg magnet and nonlinear Schrödinger equations ⋮ The Riemann problem and matrix-valued potentials with a convergent Baker-Akhiezer function ⋮ Holomorphic solutions of soliton equations ⋮ Periodic solutions of the sinh-Gordon equation and integrable systems ⋮ Group theoretical symmetries and generalized Bäcklund transformations for integrable systems ⋮ Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations ⋮ The Camassa-Holm equation: a loop group approach ⋮ The Heisenberg magnet equation and the Birkhoff factorization

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