文献类型：期刊文献

英文题名：The (2+1) -dimensional Konopelchenko–Dubrovsky equation: nonlocal symmetries and interaction solutions

作者：Ren, Bo[1]; Cheng, Xue-Ping[2,3]; Lin, Ji[4]

机构：[1] Institute of Nonlinear Science, Shaoxing University, Shaoxing, 312000, China; [2] Department of Physics, Zhejiang Ocean University, Zhoushan, 316000, China; [3] Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan, 316022, China; [4] Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua, 321004, China

年份：2016

卷号：86

期号：3

起止页码：1855

外文期刊名：Nonlinear Dynamics

收录：EI(收录号：20163302707029)、Scopus(收录号：2-s2.0-84981250393)

基金：This work was supported by Zhejiang Provincial Natural Science Foundation of China under Grant (Nos. LZ15A050001 and LQ16A010003) and the National Natural Science Foundation of China under Grant (Nos. 11305106 and 11505154)

语种：英文

外文关键词：Initial value problems

外文摘要：The nonlocal symmetries for the (2 + 1) -dimensional Konopelchenko–Dubrovsky equation are obtained with the truncated Painlevé method and the M?bious (conformal) invariant form. The nonlocal symmetries are localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations are obtained by solving the initial value problem of the prolonged systems. The multi-solitary wave solution is presented with the finite symmetry transformations of a trivial solution. In the meanwhile, symmetry reductions in the enlarged systems are studied by the Lie point symmetry approach. Many explicit interaction solutions between solitons and cnoidal periodic waves are discussed both in analytical and in graphical ways. ? 2016, Springer Science+Business Media Dordrecht.