A Super mKdV Equation: Bosonization, Painleve Property and Exact Solutions
A Super mKdV Equation: Bosonization, Painleve Property and Exact Solutions
复制标题
超级 mKdV 方程：玻色化、Painleve 性质和精确解
DOI：
10.1088/0253-6102/69/4/343
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发表时间：
2018
影响因子：
3.1
通讯作者：
Lou Sen-Yue
中科院分区：
文献类型：
--
作者：
Ren Bo;Lou Sen-Yue
费米子场的对称性是通过mKdV方程的Lax对得到的。利用费米子形式的对称性构造了一个新的超mKdV方程。用玻色化方法将超mKdV系统转化为耦合玻色方程组。玻色化SmKdV（BSmKdV）方程具有Painlevé性质.利用映射和形变方法，给出了BSmKdV系统的行波解.我们还提供了其他的思路来构造新的超可积系统。
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 Painlevé 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.