Algebro-Geometric Solutions to a New Hierarchy of Soliton Equations

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2015
• Main Authors: Wang, H., Geng, X.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119885
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Algebro-Geometric Solutions to a New Hierarchy of Soliton Equations / H. Wang, X. Geng // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 4. — С. 359-398. — Бібліогр.: 32 назв. — англ.

With the help of the Lenard recursion equations, we derive a new hierarchy of soliton equations associated with a 3×3 matrix spectral problem and establish Dubrovin type equations in terms of the introduced trigonal curve Km-1 of arithmetic genus m - 1. Basing on the theory of algebraic curve, we co...