Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system

DOI10.1063/1.530635zbMath0978.33501OpenAlexW1978175079MaRDI QIDQ4300204

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

Publication date: 5 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.530635

zbMATH Keywords

Baker-Akhiezer functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (13)

On the geometry of elliptic solitons ⋮ Elliptic solitons and Gröbner bases ⋮ On computing some special values of multivariate hypergeometric functions ⋮ Elliptic solutions and blow-up in an integrable Hénon–Heiles system ⋮ Exact Solutions in the Invariant Manifolds of the Generalized Integrable Hénon–Heiles System and Exact Traveling Wave Solutions of Klein–Gordon–Schrödinger Equations ⋮ Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations ⋮ Elliptic solitons with free constants and their isospectral deformations ⋮ Some general periodic solutions to coupled nonlinear Schrödinger equations. ⋮ Elliptic solutions in the Hénon-Heiles model ⋮ On a class of elliptic solutions of the Boussinesq equations ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Exact solutions for a class of integrable Hénon–Heiles-type systems ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

Cites Work

• Bifurcations of invariant manifolds in the generalized Hénon-Heiles system
• The Hénon-Heiles system revisited
• Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations
• Factorization of operators I. Miura transformations
• METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS

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