Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation

Nonlocal Symmetry Reductions for Bosonized Supersymmetric Burgers Equation
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玻色化超对称 Burgers 方程的非局部对称性约简

DOI:
10.1088/0253-6102/68/2/170
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发表时间:
2017-08
影响因子:
3.1
通讯作者:
Dai Tian-Zhao
Dai Tian-Zhao
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Ren Bo;Lin Ji;Le Jia-Yi;Wang Sheng;Dai Tian-Zhao

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基于玻色化方法,将超对称Burgers(SB)系统转化为耦合玻色系统。通过求解玻色化SB(BSB)方程,可以避免SB方程中的反对易费米子场所带来的困难。用截断Painlevé方法得到了BSB方程的非局部对称性。通过引入多个新场,通过求解延拓系统的第一李原理,得到了BSB方程的有限对称变换。利用与非局部对称性有关的相似约化,得到了一些群不变解。
Based on the bosonization approach, the supersymmetric Burgers (SB) system is transformed to a coupled bosonic system. By solving the bosonized SB (BSB) equation, the difficulties caused by the anticommutative fermionic field of the SB equation can be avoided. The nonlocal symmetry for the BSB equation is obtained by the truncated Painlevé method. By introducing multiple new fields, the finite symmetry transformation for the BSB equation is derived by solving the first Lie's principle of the prolonged systems. Some group invariant solutions are obtained with the similarity reductions related by the nonlocal symmetry.
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