Riemann theta function solutions to the semi-discrete Boussinesq equations

被引：0
|
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
关键词：
D O I：
10.1016/j.physd.2024.134398
中图分类号：
学科分类号：
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.
引用
收藏
相关论文
共 50 条
  • [41] A new direct time integration method for the semi-discrete parabolic equations
    Katsikadelis, John T.
    [J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2016, 73 : 181 - 190
  • [42] Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations *
    Garifullin, Rustem N.
    Habibullin, Ismagil T.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2021, 54 (20)
  • [43] Semi-discrete Schwarz waveform relaxation algorithms for reaction diffusion equations
    Wu, Shu-Lin
    Al-Khaleel, Mohammad D.
    [J]. BIT NUMERICAL MATHEMATICS, 2014, 54 (03) : 831 - 866
  • [44] ONE-STEP SPLITTING METHODS FOR SEMI-DISCRETE PARABOLIC EQUATIONS
    VANDERHOUWEN, PJ
    VERWER, JG
    [J]. COMPUTING, 1979, 22 (04) : 291 - 309
  • [45] Semi-discrete schemes for Hamilton-Jacobi equations on unstructured grids
    Levy, D
    Nayak, S
    [J]. NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, PROCEEDINGS, 2004, : 623 - 630
  • [46] Algebro-geometric Constructions of a Hierarchy of Integrable Semi-discrete Equations
    Qiulan Zhao
    Caixue Li
    Xinyue Li
    [J]. Journal of Nonlinear Mathematical Physics, 2023, 30 : 156 - 183
  • [47] Semi-discrete Matrix Factorization
    Wu, Jun
    Luo, Fangyuan
    Zhang, Yujia
    Wang, Haishuai
    [J]. IEEE INTELLIGENT SYSTEMS, 2020, 35 (05) : 73 - 82
  • [48] Semi-Discrete Isothermic Surfaces
    Christian Müller
    Johannes Wallner
    [J]. Results in Mathematics, 2013, 63 : 1395 - 1407
  • [49] Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves
    Inoguchi, Jun-ichi
    Kajiwara, Kenji
    Matsuura, Nozomu
    Ohta, Yasuhiro
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (04)
  • [50] Semi-Discrete Social Recommendation
    Luo, Fangyuan
    Wu, Jun
    Wang, Haishuai
    [J]. THIRTY-FIFTH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE, THIRTY-THIRD CONFERENCE ON INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE AND THE ELEVENTH SYMPOSIUM ON EDUCATIONAL ADVANCES IN ARTIFICIAL INTELLIGENCE, 2021, 35 : 15835 - 15836
12345