文献类型：期刊文献

英文题名：A nonlocal nonlinear Schr?dinger equation derived from a two-layer fluid model

作者：Liu, Xi-Zhong[1]; Yu, Jun[1]

机构：[1] Institute of Nonlinear Science, Shaoxing University, Shaoxing, 312000, China

年份：2019

卷号：96

期号：3

起止页码：2103

外文期刊名：Nonlinear Dynamics

收录：EI(收录号：20191606797185)、Scopus(收录号：2-s2.0-85064261984)

语种：英文

外文关键词：Nonlocal nonlinear Schr?dinger equation; Periodic waves; Symmetry reduction solutions

外文摘要：By applying a simple symmetry reduction on a two-layer liquid model, a nonlocal counterpart of it is obtained. Then, a general form of nonlocal nonlin-ear Schr?dinger (NNLS) equation with shifted parity, charge conjugate and delayed time reversal is obtained by using multi-scale expansion method. Some kinds of elliptic periodic wave solutions of the NNLS equa-tion, which become soliton solutions and kink solutions when the modulus is taken as unity, are obtained by using elliptic function expansion method. Some repre-sentative figures of these solutions are given and analyzed in detail. In addition, by carrying out the classi-cal symmetry method on the NNLS equation, not only the Lie symmetry group but also the related symmetry reduction solutions are given. ? Springer Nature B.V. 2019.