Elliptic solutions of nonlinear integrable equations and related topics

DOI10.1007/BF01001540zbMath0811.35123MaRDI QIDQ1340197

I. M. Krichever

Publication date: 14 March 1995

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

zbMATH Keywords

Baker-Akhiezer functionKP equationelliptic soliton

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Elliptic curves (14H52) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (12)

On rational addition theorems ⋮ Reduction of theta functions and elliptic finite-gap potentials ⋮ Picard potential and Hill's equation on a torus ⋮ Application of tetragonal curves to coupled Boussinesq equations ⋮ ASEP on a ring conditioned on enhanced flux ⋮ An explicit characterization of Calogero–Moser systems ⋮ Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation ⋮ Differential Resultant, Computer Algebra and Completely Integrable Dynamical 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 ⋮ Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations ⋮ On a theorem of Halphen and its application to integrable systems

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