KP solitons and the Riemann theta functions

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-03-12 DOI:10.1007/s11005-024-01773-4

Yuji Kodama

引用次数: 0

Abstract

We show that the \(\tau \)-functions of the regular KP solitons from the totally nonnegative Grassmannians can be expressed by the Riemann theta functions on singular curves. We explicitly write the parameters in the Riemann theta function in terms of those of the KP soliton. We give a short remark on the Prym theta function on a double covering of singular curves. We also discuss the KP soliton on quasi-periodic background, which is obtained by applying the vertex operators to the Riemann theta function.

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KP 孤子和黎曼 Theta 函数

我们证明，来自完全非负格拉斯曼的正则 KP 孤子的 \(\tau \)-函数可以用奇异曲线上的黎曼 θ 函数来表达。我们明确地用 KP 孤子的参数来写黎曼 Theta 函数中的参数。我们对奇异曲线双覆盖上的 Prym theta 函数作了简短评论。我们还讨论了准周期背景上的 KP 孤子，它是通过将顶点算子应用于黎曼 theta 函数而得到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.