文献类型：期刊文献

英文题名：Reduction Operators and Exact Solutions of Variable Coefficient Nonlinear Wave Equations with Power Nonlinearities

作者：Huang, Dingjiang[1];Zhu, Yan[1];Yang, Qinmin[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2017

卷号：9

期号：1

外文期刊名：SYMMETRY-BASEL

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000395443500003)】；

基金：This work was partially supported by the National Natural Science Foundation of China (Grant No. 11501204), the Natural Science Foundation of Shanghai (Grant No. 15ZR1408300) and the Shanghai Key Laboratory of Intelligent Information Processing (Grant No. IIPL-2014-001).

语种：英文

外文关键词：symmetry analysis; reduction operators; equivalence group; nonlinear wave equation; exact solutions

摘要：Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classification of regular reduction operators is performed with respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave models, which are invariant under certain reduction operators, are also constructed.