文献类型：期刊文献

英文题名：A nonlocal Boussinesq equation: Multiple-soliton solutions and symmetry analysis

作者：Liu, Xi-zhong[1];Yu, Jun[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2022

卷号：31

期号：5

外文期刊名：CHINESE PHYSICS B

收录：SCI-EXPANDED(收录号：WOS:000791571500001)、、EI(收录号：20222112153703)、Scopus(收录号：2-s2.0-85130513023)、WOS

基金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11975156 and 12175148) and the Natural Science Foundation of Zhejiang Province of China (Grant No. LY18A050001).

语种：英文

外文关键词：nonlocal Boussinesq equation; N-soliton solution; periodic waves; symmetry reduction solutions

外文摘要：A nonlocal Boussinesq equation is deduced from the local one by using consistent correlated bang method. To study various exact solutions of the nonlocal Boussinesq equation, it is converted into two local equations which contain the local Boussinesq equation. From the N-soliton solutions of the local Boussinesq equation, the N-soliton solutions of the nonlocal Boussinesq equation are obtained, among which the (N = 2,3,4)-soliton solutions are analyzed with graphs. Some periodic and traveling solutions of the nonlocal Boussinesq equation are derived directly from the known solutions of the local Boussinesq equation. Symmetry reduction solutions of the nonlocal Boussinesq equation are also obtained by using the classical Lie symmetry method.