Sato Grassmannian and degenerate sigma function

DOI10.1007/s00220-020-03704-5zbMath1435.14047arXiv1810.01224OpenAlexW3101357823MaRDI QIDQ2304955

Atsushi Nakayashiki, J. N. Bernatska, Viktor Z.Enol'skij

Publication date: 9 March 2020

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

Full work available at URL: https://arxiv.org/abs/1810.01224

zbMATH Keywords

integrable hierarchiessoliton theoryKdVKPcompletely integrable infinite-dimensional Hamiltonianinfinite-dimensional Hamiltonian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Other functions coming from differential, difference and integral equations (33E30) 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) Relationships between algebraic curves and physics (14H81)

Related Items (6)

KdV breathers on a cnoidal wave background ⋮ Periods of tropical curves and associated KP solutions ⋮ One Step Degeneration of Trigonal Curves and Mixing of Solitons and Quasi-Periodic Solutions of the KP Equation ⋮ Tau functions of \((n, 1)\) curves and soliton solutions on nonzero constant backgrounds ⋮ Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk ⋮ The sigma function over a family of curves with a singular fiber

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