文献类型：期刊文献

英文题名：Bosonization, Painleve Property, and Exact Solutions for the N=1 Supersymmetric mKdV Equation

作者：Ren, Bo[1];Yang, Jian-Rong[2];Liu, Ping[3];Liu, Xi-Zhong[1]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Shangrao Normal Univ, Dept Phys & Elect, Shangrao 334001, Peoples R China;[3]Univ Elect Sci & Technol China, Coll Electron & Informat Engn, Zhongshan Inst, Zhongshan 528402, Peoples R China

年份：2015

卷号：53

期号：4

外文期刊名：CHINESE JOURNAL OF PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000361003700001)、、WOS

基金：We would like to thank S. Y. Lou for useful discussions. This work was partially supported by the National Natural Science Foundation of China under Grant (Nos. 11305106, 11365017, 11305031, 11405110 and 11275129), the Natural Science Foundation of Zhejiang Province of China under Grant (No. LQ13A050001) and the Natural Science Foundation of Guangdong Province (No. S2013010011546).

语种：英文

外文摘要：The N = 1 supersymmetric modified Korteweg-de Vries (SmKdV) system is transformed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV (BSmKdV) passes the Painleve test and allows a set of Backlund transformations (BTs) by truncating the series expansions. The traveling wave solutions of the BSmKdV system are obtained using the mapping and deformation method. Some special types of exact solutions for the BSmKdV system are found with the solutions and symmetries of the usual mKdV equation. Meanwhile, the similarity reduction solutions of the system are investigated by using the Lie point symmetry theory. The generalized tanh function expansion method for the BSmKdV system leads to a nonauto-BT theorem. Using the nonauto-BT theorem, the novel exact solution of the BSmKdV system can be obtained. All these solutions obtained via the bosonization procedure are different from those obtained via other methods.