文献类型：期刊文献

英文题名：Interaction solutions for mKP equation with nonlocal symmetry reductions and CTE method

作者：Ren, Bo[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

年份：2015

卷号：90

期号：6

外文期刊名：PHYSICA SCRIPTA

收录：SCI-EXPANDED(收录号：WOS:000357481800012)、、EI(收录号：20152300912240)、Scopus(收录号：2-s2.0-84930960362)、WOS

基金：I would like to thank S Y Lou and J Lin for useful discussions. This work was partially supported by the National Natural Science Foundation of China under Grant (No. 11305106) and the Natural Science Foundation of Zhejiang Province of China under Grant (No. LQ13A050001). The author is indebted to the referees' useful comments.

语种：英文

外文关键词：mKP equation; nonlocal symmetries; symmetry reduction; CTE method

外文摘要：The nonlocal symmetries for the modified Kadomtsev-Petviashvili (mKP) equation are obtained with the truncated Painleve method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations and similarity reductions related with the nonlocal symmetries are computed. The multi-solitary wave solution and interaction solutions among a soliton and cnoidal waves of the mKP equation are presented. In the meantime, the consistent tanh expansion method is applied to the mKP equation. The explicit interaction solutions among a soliton and other types of nonlinear waves such as cnoidal periodic waves and multiple resonant soliton solutions are given.