Lax pairs, symmetries and recursion operators for Toda lattices
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Publication:1387116
DOI10.1016/S0034-4877(97)85893-4zbMath0904.58025OpenAlexW2037776846MaRDI QIDQ1387116
Publication date: 21 January 1999
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85893-4
surveyinvariantsmaster symmetriesPoisson bracketsrecursion operatorsLax pairsgroup symmetriesfinite nonperiodic Toda lattices
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Cites Work
- Master symmetries and r-matrices for the Toda lattice
- Nonlinear Poisson structures and r-matrices
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- Systems of Toda type, inverse spectral problems, and representation theory
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- A tri-Hamiltonian formulation of the full Kostant-Toda lattice
- R-matrices and higher Poisson brackets for integrable systems
- Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
- Some remarks on the bi-Hamiltonian structure of integral and discrete evolution equations
- Evolution equations possessing infinitely many symmetries
- A simple model of the integrable Hamiltonian equation
- Symmetries of Toda equations
- On the master symmetries and bi-Hamiltonian structure of the Toda lattice
- Multiple Hamiltonian structures for Toda-type systems
- Integrals of the Toda lattice
- The Toda lattice. II. Existence of integrals
- Explicit solutions of classical generalized Toda models
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