A Super mKdV Equation: Bosonization, Painleve Property and Exact Solutions

被引：4
作者：
Ren, Bo [1 ]
Lou, Sen-Yue [2 ,3 ,4 ]
机构：
[1] Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China
[2] Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China
[3] Ningbo Univ, Dept Phys, Ningbo 315211, Zhejiang, Peoples R China
[4] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2018年 / 69卷 / 04期
基金：
中国国家自然科学基金;
关键词：
super mKdV equation; bosonization approach; Painleve; exact solutions; DE-VRIES EQUATION; SOLITON-SOLUTIONS; SYMMETRIES; EXTENSION;
D O I：
10.1088/0253-6102/69/4/343
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The symmetry of the fermionic field is obtained by means of the Lax pair of the mKdV equation. A new super mKdV equation is constructed by virtue of the symmetry of the fermionic form. The super mKdV system is changed to a system of coupled bosonic equations with the bosonization approach. The bosonized SmKdV (BSmKdV) equation admits Painleve property by the standard singularity analysis. The traveling wave solutions of the BSmKdV system are presented by the mapping and deformation method. We also provide other ideas to construct new super integrable systems.
引用
收藏
页码：343 / 346
页数：4
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