Riemann theta function solutions to the semi-discrete Boussinesq equations

被引：0
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作者：
Xu, Yaru [1 ]
Geng, Xianguo [1 ,2 ]
Zhai, Yunyun [1 ]
机构：
[1] Department of Mathematics, Zhengzhou University, 100 Kexue Road, Zhengzhou, Henan,450001, China
[2] Institute of Mathematics, Henan Academy of Sciences, Zhengzhou, Henan,450046, China
来源：
Physica D: Nonlinear Phenomena | 2024年 / 470卷
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D O I：
10.1016/j.physd.2024.134398
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摘要：
The hierarchy of the semi-discrete Boussinesq equations associated with a discrete 4 × 4 matrix spectral problem has been derived by means of the zero-curvature and the Lenard recursion equations. The tetragonal curve is introduced by resorting to the characteristic polynomial of the Lax matrix for the semi-discrete Boussinesq hierarchy, upon which the Baker-Akhiezer functions, meromorphic functions, Abel differentials, and Riemann theta functions are constructed. Finally, we derive the Riemann theta function solutions to the semi-discrete Boussinesq hierarchy. © 2024 Elsevier B.V.
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