文献类型：期刊文献

英文题名：Solitons and symmetry reduction solutions of a nonlocal two-mode Korteweg-de Vries equation

作者：Liu, Xi-zhong[1];Yu, Jun[1]

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

年份：0

外文期刊名：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录：SCI-EXPANDED(收录号：WOS:000808308700001)、、EI(收录号：20222412216686)、Scopus(收录号：2-s2.0-85131597354)、WOS

基金：This work was supported by the National Natural Science Foundation of China under Grant Nos. 12175148 and 11975156 and the Natural Science Foundation of Zhejiang Province of China under Grant No. LY18A050001.

语种：英文

外文关键词：nonlocal two-mode Korteweg-de Vries equation; N-soliton solution; symmetry reduction solutions

外文摘要：The two-mode Korteweg-de Vries (TMKdV) equation describes propagation of two different waves modes simultaneously. By using consistent correlated bang (CCB) method, a nonlocal form of the TMKdV equation is constructed and converted into two local equations with its dependent variables having definite parity. Multiple soliton solutions of the nonlocal TMKdV equation are obtained by using known multiple soliton solutions of the TMKdV equation, and some singular travelling wave solutions are also generated in a similar way. The classical Lie symmetry method is also carried on the nonlocal TMKdV equation to get its symmetry reduction solutions.