Algebro-geometric solutions of the modified Jaulent-Miodek hierarchy

被引：2
|
作者：
Gao, Huan [1 ]
Wang, Deng-Shan [1 ]
Zhao, Peng [2 ]
机构：
[1] Normal Univ Beijing, Lab Math & Complex Syst, Sch Math Sci, Minist Educ, Beijing 100875, Peoples R China
[2] Shanghai Maritime Univ, Coll Sci, Shanghai 201306, Peoples R China
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2024年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lax pair; modified Jaulent-Miodek hierarchy; Baker-Akhiezer function; algebro-geometric solutions; INTEGRABLE SYSTEMS; EQUATION;
D O I：
10.1142/S0219887823502390
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
According to the polynomial recursion formalism, the modified Jaulent-Miodek hierarchy is derived in a standard way. The first two nontrivial members in the modified Jaulent-Miodek hierarchy are listed correspondingly. Based on the squared eigenfunctions, an algebraic curve ?n and a Riemann surface S with arithmetic genus n are introduced, then the Dubrovin-type equations are obtained naturally. With the help of the conservation laws, the Baker-Akhiezer functions are defined. Finally, the asymptotic properties of the Baker-Akhiezer functions are analyzed, from which the algebro-geometric solutions of the modified Jaulent-Miodek hierarchy are constructed in term of the Riemann theta function.
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收藏
页数：23
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