Higher-order degenerations of Fay’s identities and applications to integrable equations-Reference-Cited by-同舟云学术

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Higher-order degenerations of Fay’s identities and applications to integrable equations

Published:2023-05 Issue:2273 Volume:479 Page:
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Klein Christian¹²^ORCID,Pillet Jordi¹³

Affiliation:

1. Institut de Mathématiques de Bourgogne, UMR 5584, Université de Bourgogne, 9 avenue Alain Savary, 21078 Dijon Cedex, France

2. Institut Universitaire de France, Université de Bourgogne-Franche-Comté, 9 avenue Alain Savary, 21078 Dijon Cedex, France

3. Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve W., Montreal, Quebec, Canada H3G 1M8

Abstract

Higher-order degenerated versions of Fay’s trisecant identity are presented. It is shown that these lead to solutions for Schwarzian Kadomtsev–Petviashvili equations.

Funder

EIPHI Graduate School

Marie Sklodowska-Curie

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2023.0031

Reference27 articles.

1. Belokolos E Bobenko A Enolskii V Its A Matveev V. 1994 Algebro-geometric approach to nonlinear integrable equations. Springer Series in Nonlinear Dynamics XII+337. Berlin Germany: Springer.

2. Theta functions and non-linear equations

3. Progress in Mathematics;Mumford D,1984

4. Fay J. 1973 Theta functions on Riemann surfaces. Lecture Notes in Mathematics 352.

5. Secants of Abelian varieties, theta functions, and soliton equations

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