Autor:	Matsutani, Shigeki
Rok vydání:	2023
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	The periodic and quasi-periodic solutions of the integrable system have been studied for four decades based on the Riemann theta functions. However, there is a fundamental difficulty in representing the solutions graphically because the Riemann theta function requires several transcendental parameters. This paper presents a novel method for the graphical representation of such solutions from the algebraic treatment of the periodic and quasi-periodic solutions of the Baker-Weierstrass hyperelliptic $\wp$ functions. We demonstrate the graphical representation of the hyperelliptic $\wp$ functions of genus two. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.14656 Zobrazit plný text záznamu View this record from Arxiv