Tangential polynomials and elliptic solitons

DOI10.1215/S0012-7094-89-05928-0zbMath0698.14029OpenAlexW2088150552MaRDI QIDQ912165

Armando Treibich

Publication date: 1989

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-89-05928-0

zbMATH Keywords

solitonsKP equationKadomtsev-Petviashvili equationtangential coverKrichever correspondence

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Partial differential equations of mathematical physics and other areas of application (35Q99) Differentials on Riemann surfaces (30F30)

Related Items

Elliptic solutions of nonlinear integrable equations and related topics, New elliptic potentials, Monodromy of Boussinesq elliptic operators, On the two-gap elliptic potentials, Finite-gap elliptic solutions of the KdV equation, Tangential covers and infinite Artin-Schreier towers, Two-gap elliptic solutions to integrable nonlinear equations, Matrix elliptic solitons, Solutions of the KdV equation elliptic in \(t\), 3-tangential polynomials and \(t\)-periodic solutions of the KdV equation, On the link between the Sparre equation and Darboux-Treibich-Verdier equation, An explicit characterization of Calogero–Moser systems, Tangential polynomials and matrix KdV elliptic solitons, Nonlinear evolution equations and hyperelliptic covers of elliptic curves, Exceptional coverings and sums of 4 triangular numbers, Abelian solitons, On a class of elliptic solutions of the Boussinesq equations, The elliptic-in-\(t\) solutions of the nonlinear Schrödinger equation, Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

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