Tau functions of \((n, 1)\) curves and soliton solutions on nonzero constant backgrounds

DOI10.1007/s11005-021-01411-3zbMath1480.37078arXiv2011.10691OpenAlexW3106880175MaRDI QIDQ2044428

Atsushi Nakayashiki

Publication date: 9 August 2021

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

Full work available at URL: https://arxiv.org/abs/2011.10691

zbMATH Keywords

solitonrational curveSato GrassmannianKP hierarchy\(\tau\)-functionvertex operator

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) 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) Soliton solutions (35C08)

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