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Generalization of the Toda chain system to the elliptic curve case

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Publication:1906257
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DOI10.1007/BF00403248zbMath0852.35122MaRDI QIDQ1906257

A. N. Leznov, N. A. Belov, Wojciech J. Zakrzewski

Publication date: 11 March 1996

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


zbMATH Keywords

elliptic curvesintegrable systemsLandau-Lifshitz equationToda chains


Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Simple, semisimple, reductive (super)algebras (17B20)





Cites Work

  • Unnamed Item
  • Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions
  • The integrable mapping as the discrete group of inner symmetry of integrable systems
  • The canonical symmetry for integrable systems
  • On the solutions of the anisotropic Heisenberg equation




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