Bi-Hamiltonian structure and conservation laws of the coupled Boussinesq hierarchy
Starting from a 4 × 4 matrix spectral problem with four potentials, the corresponding coupled Boussinesq (cBq) hierarchy is successfully proposed. For ensuring the integrability of the hierarchy, both the bi-Hamiltonian structure and infinitely many conservation laws are mainly discuss. The bi-Hamiltonian structure of the hierarchy is constructed by virtue of the celebrated trace identity. The infinitely many conservation laws of the hierarchy are obtained by a direct way.
Authors
- Tao Xu (ORCID: https://orcid.org/0000-0002-2740-4780)
- Ming Wang (ORCID: https://orcid.org/0000-0002-1192-6226)
- Zhuang Yang (ORCID: https://orcid.org/0009-0001-5563-3003)
- Guoliang He (ORCID: https://orcid.org/0000-0002-4682-1483)
Institutions
- Zhengzhou University of Light Industry (CN)
Publication Details
- Journal
- Applied Mathematics Letters
- Published
- 2025-06-17
- DOI
- https://doi.org/10.1016/j.aml.2025.109652
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Zhengzhou University of Light Industry
- Natural Science Foundation of Henan Province