New elliptic potentials

DOI10.1007/BF01001541zbMath0824.14023OpenAlexW2046227477MaRDI QIDQ1340198

Armando Treibich

Publication date: 13 November 1995

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01001541

zbMATH Keywords

Weierstrass functionKdV equationKP equationKorteweg-de Vries equationJacobianssoliton equationstau functionfinite-gap potentialsKadomtsev-Petviashvili equationelliptic finite-gap solutionsintegrable differential equationstheta functions of Riemann surfaces

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Theta functions and abelian varieties (14K25)

Related Items (10)

\(N=2\) supersymmetric QCD and elliptic potentials ⋮ Reduction of theta functions and elliptic finite-gap potentials ⋮ Quasimodular instanton partition function and the elliptic solution of Korteweg-de Vries equations ⋮ A New Treatment for Some Periodic Schrödinger Operators I: The Eigenvalue ⋮ Picard potential and Hill's equation on a torus ⋮ Spectra of elliptic potentials and supersymmetric gauge theories ⋮ 3-tangential polynomials and \(t\)-periodic solutions of the KdV equation ⋮ An explicit characterization of Calogero–Moser systems ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

Cites Work

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• Tangential polynomials and elliptic solitons
• On the even-order vanishing of Jacobian theta functions
• Loop groups and equations of KdV type
• Self-similar solutions of equations of Korteweg-deVries type

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