Statistical mechanics of elastica on a plane: origin of the MKdV hierarchy

DOI10.1088/0305-4470/31/11/017zbMath0919.35121arXivsolv-int/9707003OpenAlexW2000717403MaRDI QIDQ4235469

Shigeki Matsutani

Publication date: 2 September 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9707003

zbMATH Keywords

energy functionalPainlevé equationpath integral methodmoduliBecchi-Rouet-Stora transformationMKdV hierarchynon-stretching elastica

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) Statistical mechanics of polymers (82D60) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (8)

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 ⋮ \(XY\)-model on planar and space curves ⋮ Hyperelliptic loop solitons with genus \(g\): investigations of a quantized elastica ⋮ Closed loop solitons and sigma functions: Classical and quantized elasticas with genera one and two ⋮ From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials ⋮ Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces ⋮ An algebro-geometric model for the shape of supercoiled DNA ⋮ Statistical mechanics of non-stretching elastica in three-dimensional space

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