Year: 2021
Author: Minxin Jia, Xianguo Geng, Yunyun Zhai, Jiao Wei, Huan Liu
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 732–754
Abstract
Coupled Korteweg-de Vries hierarchy associated with a 3 × 3 matrix spectral problem is derived via a stationary zero-curvature equation and Lenard recursion equations. Resorting to the characteristic polynomial of the Lax matrix for coupled Kortewegde Vries hierarchy, we introduce a trigonal curve $\mathscr{K}_g$ with three infinite points and establish the corresponding Baker-Akhiezer function and a meromorphic function on $\mathscr{K}_g$. Coupled Korteweg-de Vries equations are decomposed into systems of ordinary differential equations of Dubrovin-type. Analytic Riemann theta function solutions are obtained by using asymptotic expansions of the Baker-Akhiezer function and a meromorphic function and their Riemann theta function representations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/ 10.4208/eajam.090221.100421
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 732–754
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: Coupled KdV hierarchy trigonal curve Riemann theta function solution.