Algebraic solutions of the multicomponent KP hierarchy

DOI10.1016/S0393-0440(99)00068-6zbMath0963.37060arXivmath/9907069OpenAlexW2109882145MaRDI QIDQ1589691

Francisco Jose Plaza Martín

Publication date: 8 July 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9907069

zbMATH Keywords

theta functionKP hierarchytau functioninfinite Grassmannian

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Jacobians, Prym varieties (14H40) 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) Theta functions and curves; Schottky problem (14H42)

Related Items (2)

Addition formulae for non-abelian theta functions and applications. ⋮ \(\mathcal W\)-symmetry of the adelic Grassmannian

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