The periodic relativistic Toda lattice: direct and inverse problem
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Publication:3469605
DOI10.1088/0266-5611/5/3/011zbMath0694.35187OpenAlexW2066798683MaRDI QIDQ3469605
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Publication date: 1989
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0266-5611/5/3/011
Inverse problems for PDEs (35R30) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (14)
\(N\)-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation ⋮ Algebro-geometric solutions for the Ruijsenaars-Toda hierarchy ⋮ Five-dimensional gauge theories and the local B-model ⋮ R-matrices and higher Poisson brackets for integrable systems ⋮ Relativistic Toda systems ⋮ Mastersymmetries, angle variables, and recursion operator of the relativistic Toda lattice ⋮ Spectrum and orthogonality of the Bethe ansatz for the periodic \(q\)-difference Toda chain on \(\mathbb{Z}_{m+1}\) ⋮ A new discrete integrable system derived from a generalized Ablowitz-Ladik hierarchy and its Darboux transformation ⋮ New integrable lattice hierarchies ⋮ Darboux transformations and recursion operators for differential-difference equations ⋮ Discrete time Toda systems ⋮ Dimer models and integrable systems ⋮ The matrix Toda equations for coefficients of a matrix three-term recurrence relation ⋮ A unified construction for the algebro-geometric quasiperiodic solutions of the Lotka-Volterra and relativistic Lotka-Volterra hierarchy
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