Involutive solutions for toda and langmuir lattices through nonlinearization of lax pairs

DOI10.1007/BF02595020zbMath0749.35038OpenAlexW183164576MaRDI QIDQ4016396

Xiangguo Geng

Publication date: 14 December 1992

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02595020

zbMATH Keywords

nonlinear evolution equationconstants of the motiondiscrete Schrödinger eigenvalue problemfinite-dimensional difference system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (6)

A finite-dimensional integrable system associated with the three-wave interaction equations ⋮ Nonlinearization of the Lax pairs for discrete Ablowitz-Ladik hierarchy. ⋮ A New Integrable Symplectic Map of Neumann Type ⋮ Discrete and continuous integrable systems possessing the same non-dynamical \(r\)-matrix. ⋮ Finite-dimensional discrete systems and integrable systems through nonlinearization of the discrete eigenvalue problem ⋮ Quasi-periodic solutions for some \(2+1\)-dimensional discrete models

Cites Work

• Symmetry properties and bi-Hamiltonian structure of the Toda lattice
• On the Toda Lattice. II: Inverse-Scattering Solution

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