文献类型：期刊文献

中文题名：Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation

英文题名：Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation

作者：Ren, Bo[1];Lin, Ji[2];Le, Jia-Yi[1];Wang, Sheng[1];Dai, Tian-Zhao[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Peoples R China

年份：2017

卷号：67

期号：8

起止页码：170

中文期刊名：理论物理通讯：英文版

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000407707500004)、CSTPCD、、Scopus(收录号：2-s2.0-85027889042)、WOS、CSCD2017_2018、CSCD、PubMed

基金：Supported by the National Natural Science Foundation of China under Grant Nos. 11675146, 11305106, 11472177, 11275129, and the Natural Science Foundation of Zhejiang Province of China under Grant No. LZ15A050001

语种：英文

中文关键词：Burgers方程;对称性约化;超对称;玻色系统;BSB;截断方法;局部对称;对称变换

外文关键词：supersymmetric burgers equation; nonlocal symmetry; symmetry reduction

中文摘要：Based on the bosonization approach, the supersymmetric Burgers(SB) system is transformed to a coupled bosonic system. By solving the bosonized SB(BSB) equation, the difficulties caused by the anticommutative fermionic field of the SB equation can be avoided. The nonlocal symmetry for the BSB equation is obtained by the truncated Painlev′e method. By introducing multiple new fields, the finite symmetry transformation for the BSB equation is derived by solving the first Lie's principle of the prolonged systems. Some group invariant solutions are obtained with the similarity reductions related by the nonlocal symmetry.

外文摘要：Based on the bosonization approach, the supersymmetric Burgers (SB) system is transformed to a coupled bosonic system. By solving the bosonized SB (BSB) equation, the difficulties caused by the anticommutative fermionic field of the SB equation can be avoided. The nonlocal symmetry for the BSB equation is obtained by the truncated Painleve method. By introducing multiple new fields, the finite symmetry transformation for the BSB equation is derived by solving the first Lie's principle of the prolonged systems. Some group invariant solutions are obtained with the similarity reductions related by the nonlocal symmetry.