Symmetry Reductions, Cte Method and Interaction Solutions for Sharma-Tasso-Olver-Burgers Equation
Symmetry Reductions, Cte Method and Interaction Solutions for Sharma-Tasso-Olver-Burgers Equation
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DOI：
10.3390/sym14081690
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发表时间：
2022-08
期刊：
影响因子：
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通讯作者：
Jun Yu;Bo Ren;Wan-Li Wang
中科院分区：
文献类型：
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作者：
Jun Yu;Bo Ren;Wan-Li Wang
本文利用Lie点对称方法分析了Sharma-Tasso-Olver-Burgers（STOB）系统。利用对称约化方法导出了STOB方程的超几何波解。同时，将一致双曲正切展开（CTE）方法应用于STOB方程.利用CTE方法得到了一个包含超定方程和相容条件的非自适应Bäcklund（BT）定理.利用非自BT定理，构造了单孤子与椭圆余弦波、单孤子与多共振孤子解之间的相互作用。这些新的相互作用的解决方案的动力学显示在分析和图形的形式。这些结果对解释海洋现象有潜在的帮助。
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.