文献类型：期刊文献

英文题名：A nonlocal variable coefficient modified KdV equation derived from a two-layer fluid system and its exact solutions

作者：Liu, Xi-zhong[1];Yu, Jun[1];Lou, Zhi-Mei[1];Qian, Xian-Min[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Shaoxing Univ, Yuanpei Coll, Shaoxing 312000, Peoples R China

年份：2019

卷号：78

期号：6

起止页码：2083

外文期刊名：COMPUTERS & MATHEMATICS WITH APPLICATIONS

收录：SCI-EXPANDED(收录号：WOS:000486095200024)、、EI(收录号：20191406732262)、Scopus(收录号：2-s2.0-85063739125)、WOS

基金：The authors would like to thank the referees for their helpful suggestions. This work was supported by the National Natural Science Foundation of China under Grant Nos. 11405110, 11275129, 11472177 and the Natural Science Foundation of Zhejiang Province of China under Grant No. LY18A050001.

语种：英文

外文关键词：Nonlocal variable coefficient mKdV equation; Periodic waves; Interaction solutions

外文摘要：A nonlocal form of a two-layer fluid system is proposed by a simple symmetry reduction, then by applying multiple scale method to it a general nonlocal two place variable coefficient modified KdV (VCmKdV) equation with shifted space and delayed time reversal is derived. Various exact solutions of the VCmKdV equation, including elliptic periodic waves, solitary waves and interaction solutions between solitons and periodic waves are obtained and analyzed graphically. As an illustration, an approximate solution of the original nonlocal two-layer fluid system is also given. (C) 2019 Elsevier Ltd. All rights reserved.