A super extension of the Geng–Xue system
Based on a 4 × 4 spectral problem, a super Geng–Xue (sGX) system is proposed. We obtain the bi-Hamiltonian structure and infinitely many conserved quantities for the sGX system. With the aid of a reciprocal transformation, we connect the sGX system with the first negative flow in a super Boussinesq hierarchy.
Authors
- Nianhua Li (ORCID: https://orcid.org/0000-0002-4609-0318)
- Hongmin Li (ORCID: https://orcid.org/0000-0003-4079-5939)
Institutions
- Huaqiao University (CN)
Publication Details
- Journal
- Journal of Mathematical Physics
- Published
- 2025-05-01
- DOI
- https://doi.org/10.1063/5.0222834
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China