The extended Lotka–Volterra lattice and affine Jacobi varieties of spectral curves

DOI10.1063/1.1527224zbMath1061.14029arXivmath-ph/0209032OpenAlexW1971569662MaRDI QIDQ4832887

Rei Inoue

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0209032

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70)

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Cites Work

• Jacobiennes des courbes spectrales et systèmes hamiltoniens complètement intégrables. (The Jacobians of spectral curves and completely integrable Hamiltonian systems)
• Separation of variables in the classical integrable \(\mathrm{SL}(3)\) magnetic chain
• Isospectral Hamiltonian flows in finite and infinite dimensions. II: Integration of flows
• Classical functional Bethe ansatz for SL(N): Separation of variables for the magnetic chain
• Crystallization of the Bogoyavlensky Lattice
• The Hungry-Volterra Model – The Classical and Quantum Integrable Structures
• Dual Baxter equations and quantization of the affine Jacobian
• Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems