Abstract
In this paper, the Sharma-Tasso-Olver-Burgers (STOB) system is analyzed by the Lie point symmetry method. The hypergeometric wave solution of the STOB equation is derived by symmetry reductions. In the meantime, the consistent tanh expansion (CTE) method is applied to the STOB equation. An nonauto-Bäcklund (BT) theorem that includes the over-determined equations and the consistent condition is obtained by the CTE method. By using the nonauto-BT theorem, the interactions between one-soliton and the cnoidal wave, and between one-soliton and the multiple resonant soliton solutions, are constructed. The dynamics of these novel interaction solutions are shown both in analytical and graphical forms. The results are potentially useful for explaining ocean phenomena.
Original language | English |
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Article number | 1690 |
Journal | Symmetry |
Volume | 14 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2022 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2022 by the authors.
Keywords
- Lie point symmetry method
- STOB equation
- consistent tanh expansion method
- symmetry reduction