The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices

DOI10.1090/tran/7349zbMath1403.37078OpenAlexW2741461758MaRDI QIDQ4561843

Publication date: 13 December 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7349

zbMATH Keywords

Baker-Akhiezer function trigonal curve Bogoyavlensky lattices Riemann theta function solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Theta functions and curves; Schottky problem (14H42)

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