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Exact solutions of supersymmetric Burgers equation with Bosonization procedure  ( SCI-EXPANDED收录)   被引量:5

文献类型:期刊文献

英文题名:Exact solutions of supersymmetric Burgers equation with Bosonization procedure

作者:Ren, Bo[1];Gao, Xiao-Nan[2];Yu, Jun[1];Liu, Ping[3]

机构:[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200040, Peoples R China;[3]Univ Elect Sci & Technol China, Zhongshan Inst, Coll Electron & Informat Engn, Zhongshan 528402, Peoples R China

年份:2015

卷号:13

期号:1

起止页码:502

外文期刊名:OPEN MATHEMATICS

收录:SCI-EXPANDED(收录号:WOS:000361393600001)、、Scopus(收录号:2-s2.0-84941117528)、WOS

基金:This work was supported by the National Natural Science Foundation of China under Grant Nos. 11305106, 11275129 and 11305031, the Natural Science Foundation of Zhejiang Province of China Grant No. LQ13A050001.

语种:英文

外文关键词:Supersymmetric Burgers equation; Bosonization approach; Symmetry reduction; Exact solution

外文摘要:Using bosonization approach, the N = 1 supersymmetric Burgers (SB) system is changed to a system of coupled bosonic equations. The difficulties caused by intractable anticommuting fermionic fields can be effectively avoided with the approach. By solving the coupled bosonic equations, the traveling wave solutions of the SB system can be obtained with the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered. In the meanwhile, the similarity reduction solutions of the SB system are also studied with the Lie point symmetries theory.

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