文献类型：期刊文献

英文题名：Painlevé analysis, nonlocal symmetry and explicit interaction solutions for supersymmetric mKdVB equation

作者：Ren, Bo[1]

机构：[1] Institute of Nonlinear Science, Shaoxing University, Shaoxing, 312000, China

年份：2016

卷号：6

期号：8

外文期刊名：AIP Advances

收录：EI(收录号：20163302716314)、Scopus(收录号：2-s2.0-84981294970)

基金：This work was supported by the National Natural Science Foundation of China under Grant Nos. 11305106 and 11275129.

语种：英文

外文关键词：Solitons

外文摘要：The N = 1 supersymmetric mKdVB system is transformed to a coupled bosonic system by using the bosonization approach. By a singularity structure analysis, the bosonized supersymmetric mKdVB (BSmKdVB) equation admits the Painlevé property. Starting from the standard truncated Painlevé method, the nonlocal symmetry for the BSmKdVB equation is obtained. To solve the first Lie's principle related with the nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing multiple new fields. Thanks to localization processes, similarity reductions for the prolonged systems are studied by the Lie point symmetry method. The interaction solutions among solitons and other complicated waves including Painlevé II waves and periodic cnoidal waves are given through the reduction theorems. The soliton-cnoidal wave interaction solutions are explicitly given by using the mapping and deformation method. The concrete soliton-cnoidal interaction solutions are displayed both in analytical and graphical ways. ? 2016 Author(s).