@article{Liu2023, 
author = {Wei Liu and Xianguo Geng and Bo Xue},
title = {Quasi-periodic solutions of three-component Burgers hierarchy},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {27742-27761},
keywords = {three-component Burgers hierarchy, quasi-periodic solutions, Baker-Akhiezer function, trigonal curve},
url = {https://www.sciopen.com/article/10.3934/math.20231420},
doi = {10.3934/math.20231420},
abstract = {Starting from a    3  ×  3 matrix spectral problem and the characteristic polynomial of the Lax matrix, we propose a trigonal curve, the associated meromorphic functions and three kinds of Abelian differentials. By discussing the asymptotic properties for the Baker-Akhiezer functions and their Riemann theta function expressions, we get quasi-periodic solutions of the three-component Burgers hierarchy. Finally, we straighten out the three-component Burgers flows.}
}