Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation
Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation
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DOI：
10.1515/phys-2015-0027
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发表时间：
2015-05
期刊：
影响因子：
1.9
通讯作者：
Bo Ren
中科院分区：
文献类型：
--
作者：
Bo Ren
摘要基于玻色子化方法，将N = 1超对称Burgers （SB）系统转化为耦合的纯玻色子系统。通过标准奇点分析，得到了玻色化SB （BSB）系统的painlev<s:1>性质和Bäcklund变换（BT）。给出了BSB系统的多孤立波和误差函数波等显式解，并利用广义tanh展开法得到了BSB系统的精确解。
Abstract Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard singularity analysis. Explicit solutions such as the muti-solitarywaves and error functionwaves are provided for the BT. The exact solutions of the BSB system are obtained from the generalized tanh expansion method.