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 nonlinear 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 equation, which become soliton solutions and kink solutions when the modulus is taken as unity, are obtained by using elliptic function expansion method. Some representative figures of these solutions are given and analyzed in detail. In addition, by carrying out the classical symmetry method on the NNLS equation, not only the Lie symmetry group but also the related symmetry reduction solutions are given. ? 2019, Springer Nature B.V.