文献类型：期刊文献

英文题名：Nonlocal symmetry and explicit solutions for Drinfel'd-Sokolov-Wilson system

作者：Ren, Bo[1];Lou, Zhi-Mei[1];Liang, Zu-Feng[2];Tang, Xiao-Yan[3]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Hangzhou Normal Univ, Dept Phys, Hangzhou 310036, Zhejiang, Peoples R China;[3]East China Normal Univ, Inst Syst Sci, Shanghai 200241, Peoples R China

年份：2016

卷号：131

期号：12

外文期刊名：EUROPEAN PHYSICAL JOURNAL PLUS

收录：SCI-EXPANDED(收录号：WOS:000395551100002)、、Scopus(收录号：2-s2.0-85006955776)、WOS

基金：This work was supported by the National Natural Science Foundation of China under Grant No. 11305106, 11472177, 11675055, 11475052, 11275123 and 11275129. The comments of the anonymous referees have been helpful in improving the presentation.

语种：英文

外文摘要：Based on the truncated Painleve method and the Mobius (conformal) invariant form, the nonlocal symmetry for the Drinfel'd-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.