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Explicit Bäcklund transformations for multifield Schrödinger equations. Jordan generalizations of the Toda chain

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Publication:1804139
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DOI10.1007/BF01015792zbMath0818.35115MaRDI QIDQ1804139

S. I. Svinolupov, Ravil I. Yamilov

Publication date: 17 May 1995

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Bäcklund transformationsunital Jordan algebrasinfinite Toda chain


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)


Related Items (4)

A general method for constructing vector integrable lattice systems ⋮ A vector CTL-RTL hierarchy with bi-Hamiltonian structure ⋮ The determinant representation of Darboux transformation for the Kulish-Sklyanin model and novel soliton solutions for \(m = 2\) ⋮ Bäcklund-Schlesinger transformations for Davey-Stewartson equations




Cites Work

  • Nonlinear Schrödinger equations and simple Lie algebras
  • Generalized Schrödinger equations and Jordan pairs
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