文献类型：期刊文献

英文题名：A study on a nonlocal coupled KdV system

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：108

期号：1

起止页码：569

外文期刊名：NONLINEAR DYNAMICS

收录：SCI-EXPANDED(收录号：WOS:000746791900001)、、EI(收录号：20220511550431)、Scopus(收录号：2-s2.0-85123489815)、WOS

基金：This work was supported by the National Natural Science Foundation ofChina underGrant Nos. 12175148, 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 coupled Korteweg-de Vries equation; N-soliton solutions; Symmetry reduction solutions

外文摘要：A nonlocal coupled KdV (NCKdV) system is constructed from the coupled KdV (CKdV) system by using the consistent correlated bang method. By converting the NCKdV system into a local system, a general form of N-soliton solutions of the NCKdV system is derived from N-soliton solutions of the CKdV system, among which N = 2, 3, 4 cases multiple soliton solutions of the NCKdV system are analyzed with graphs. Various single soliton solutions and periodic wave solutions are generated directly from solutions of the CKdV system. In addition, the classical Lie symmetry method is applied on the NCKdV system to obtain its symmetry group and symmetry reduction solutions.