KP solitons and the Riemann theta functions-Reference-Cited by-同舟云学术

KP solitons and the Riemann theta functions

Published:2024-03-12 Issue:2 Volume:114 Page:
ISSN:1573-0530
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Kodama Yuji^ORCID

Abstract

AbstractWe show that the

$$\tau $$

τ -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.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11005-024-01773-4.pdf

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