Bilinear operators and the power series for the Weierstrass sigma function

DOI10.1088/0305-4470/33/4/311zbMath0955.33015OpenAlexW2078880404MaRDI QIDQ4495913

Eilbeck, J. C., Viktor Z.Enol'skij

Publication date: 13 August 2000

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

Full work available at URL: https://doi.org/10.1088/0305-4470/33/4/311

zbMATH Keywords

KdV equationvertex operatorWeierstrass \(\sigma\)-functionbilinear operator methodtechniques

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Power series (including lacunary series) in one complex variable (30B10) Partial differential equations of mathematical physics and other areas of application (35Q99) Elliptic functions and integrals (33E05)

Related Items (9)

Complex Algebraic Geometry Applied to Integrable Dynamics: Concrete Examples and Open Problems ⋮ Multidimensional Schrödinger equations with Abelian potentials ⋮ System of partial differential equations and analytical representations of the Weierstrass sigma function ⋮ Casting light on shadow Somos sequences ⋮ Identities for the classical genus two \({\wp}\) function. ⋮ Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function ⋮ Abelian functions for cyclic trigonal curves of genus 4 ⋮ A Hirota bilinear equation for Painlevé transcendents PIV, PII and PI ⋮ Properties of the series solution for Painlevé I

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