ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
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DOI：
10.1142/s0129055x9900026x
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发表时间：
1998-08
影响因子：
1.8
通讯作者：
Ronnie Dickson;F. Gesztesy;K. Unterkofler
中科院分区：
文献类型：
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作者：
Ronnie Dickson;F. Gesztesy;K. Unterkofler
我们继续最近开发的系统方法的Bousinesq（BSQ）的层次结构和代数几何的解决方案。我们的形式主义包括一个递归的拉克斯对建设，并建立相关的Burchnall-Chaundy曲线，Baker-Akhiezer函数和Dubrovin型方程的Dirichlet和Neumann因子的类似物。本文的主要目的是一个详细的theta函数表示的所有代数几何的拟周期解和相关量的Bsq的层次。
We continue a recently developed systematic approach to the Bousinesq (Bsq) hierarchy and its algebro-geometric solutions. Our formalism includes a recursive construction of Lax pairs and establishes associated Burchnall–Chaundy curves, Baker–Akhiezer functions and Dubrovin-type equations for analogs of Dirichlet and Neumann divisors. The principal aim of this paper is a detailed theta function representation of all algebro-geometric quasi-periodic solutions and related quantities of the Bsq hierarchy.