Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker's study on hyperelliptic sigma functions

DOI10.1088/0305-4470/34/22/312zbMath0988.37090arXivnlin/0007001OpenAlexW1985407874MaRDI QIDQ2735756

Shigeki Matsutani

Publication date: 4 September 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0007001

zbMATH Keywords

Korteweg-de Vries equationKadomtsev-Petviashvili equationshyperelliptic solutionsJFM 34.0464.03

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Theta functions and curves; Schottky problem (14H42)

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