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- Publisher
- Springer Journals
- Copyright
- Copyright
- Subject
- Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1007/BF01001543
- Publisher site
- See Article on Publisher Site
Abstract
We study special algebraic curves being a covering over tori and associated with elliptic solitons. To describe the cover, we use an ansatz for the elliptic Baker-Akhiezer functions which accentuates the work of Hermite. We give a description of the elliptic solitons yielded by two-gap Lamé and Treibich-Verdier potentials; we also consider three and four-gap Lamé potentials and the Halphen equation with n=4. Examples of elliptic solutions for integrable dynamical systems are constructed against the background of the developed approach.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Jan 3, 2005