文献类型：期刊文献

英文题名：Supersymmetric Ito equation: Bosonization and exact solutions

作者：Ren, Bo[1];Lin, Ji[2];Yu, Jun[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：2013

卷号：3

期号：4

外文期刊名：AIP ADVANCES

收录：SCI-EXPANDED(收录号：WOS:000318271100029)、、EI(收录号：20132016334755)、Scopus(收录号：2-s2.0-84877606753)、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 Nos. 11175158 and 11275129 and the Starting Research Funds from the Shaoxing University under Grant No. 20125035. The authors are indebted to the referees' useful comments.

语种：英文

外文关键词：boson systems; Lie groups; supersymmetry

外文摘要：Based on the bosonization approach, the N = 1 supersymmetric Ito (sIto) system is changed to a system of coupled bosonic equations. The approach can effectively avoid difficulties caused by intractable fermionic fields which are anticommuting. By solving the coupled bosonic equations, the traveling wave solutions of the sIto system are obtained with the mapping and deformation method. Some novel types of exact solutions for the supersymmetric system are constructed with the solutions and symmetries of the usual Ito equation. In the meanwhile, the similarity reduction solutions of the model are also studied with the Lie point symmetry theory. Copyright 2013 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx.doi.org/10.1063/1.4802969]