@Article{EAJAM-11-732,
author = {Jia , MinxinGeng , XianguoZhai , YunyunWei , 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 = {http://global-sci.org/intro/article_detail/eajam/19370.html}
}