文献类型：期刊文献

英文题名：Symmetry Reductions, Cte Method and Interaction Solutions for Sharma-Tasso-Olver-Burgers Equation

作者：Yu, Jun[1];Ren, Bo[2];Wang, Wan-Li[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Peoples R China

年份：2022

卷号：14

期号：8

外文期刊名：SYMMETRY-BASEL

收录：SCI-EXPANDED(收录号：WOS:000845271400001)、、Scopus(收录号：2-s2.0-85137372613)、WOS

基金：The publishing of this paper is financially supported by the National Natural Science Foundation of China under Grant Nos. 11775146, 11975156 and 12105243, and Zhejiang Provincial Natural Science Foundation of China under Grant No. LQ22A050002.

语种：英文

外文关键词：STOB equation; Lie point symmetry method; symmetry reduction; consistent tanh expansion method

外文摘要：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-Backlund (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.