Beholding the shallow water waves near an ocean beach or in a lake via a Boussinesq-Burgers system
Abstrak
Abstract Water waves, one of the most common phenomena in nature, play an important role in the marine/offshore engineering, hydraulic engineering, energy development, mechanical engineering, etc. Hereby, for the shallow water waves near an ocean beach or in a lake, we study a Boussinesq-Burgers system. With respect to the water-wave horizontal velocity and height deviating from the equilibrium position of water, we find out (1) two hetero-Backlund transformations via the Bell polynomials and symbolic computation, and (2) a set of the similarity reductions via symbolic computation, to a known ordinary differential equation, for which we also construct some solutions. The results rely on the oceanic water-wave dispersive power. We hope that our hetero-Backlund transformations and similarity reductions could help the researchers investigate certain modes of the shallow water waves near an ocean beach.
Topik & Kata Kunci
Penulis (3)
Xin-Yi Gao
Yongjiang Guo
Wen-Rui Shan
Akses Cepat
PDF tidak tersedia langsung
Cek di sumber asli →- Tahun Terbit
- 2021
- Bahasa
- en
- Total Sitasi
- 48×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/J.CHAOS.2021.110875
- Akses
- Open Access ✓