Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two

DOI10.1016/S0393-0440(00)00074-7zbMath0977.35120arXivmath/0008153OpenAlexW2016800075MaRDI QIDQ5943195

Shigeki Matsutani

Publication date: 9 September 2001

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

Full work available at URL: https://arxiv.org/abs/math/0008153

zbMATH Keywords

space curvemodified Korteweg-de Vries equationBaker's hyperelliptic sigma functionselasticahyperelliptic functionWeierstrass sigma functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Special algebraic curves and curves of low genus (14H45) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Curves in Euclidean and related spaces (53A04)

Related Items (1)

Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica

Cites Work

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• On the Moduli of a Quantized Elastica in ℙ and KdV Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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