@Article{EAJAM-11-4,
author = {Minxin, Jia and Xianguo, Geng and Zhai, Yunyun and Wei, Jiao and Liu, Huan},
title = {Analytic Riemann Theta Function Solutions of Coupled Korteweg-de Vries Hierarchy},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {11},
number = {4},
pages = {732--754},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090221.100421},
url = {https://global-sci.com/article/90845/analytic-riemann-theta-function-solutions-of-coupled-korteweg-de-vries-hierarchy}
}