Higher genus hyperelliptic reductions of the Benney equations

被引：14

作者：

Baldwin, S ^{[1
]}

Gibbons, J ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, London SW7 2BZ, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 20期

关键词：

D O I：

10.1088/0305-4470/37/20/007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It was shown by Gibbons and Tsarev (1996 Phys. Lett. A 211 19; 1999 Phys. Lett. A 258 263) that n-parameter reductions of the Benney equations correspond to n-parameter families of conformal maps. Here, we consider a specific set of these, the hyperelliptic reductions. The mapping function for this is calculated explicitly by inverting a second kind Abelian integral on the stratum Theta(1) of the Jacobi variety of a genus g (g greater than or equal to 3) hyperelliptic curve. This is done using a method based on the result of Jorgenson (1992 Isr. J. Math. 77273).

引用

页码：5341 / 5354

页数：14

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