Supersymmetric reciprocal transformation and its applications
Supersymmetric reciprocal transformation and its applications
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DOI：
10.1063/1.3481568
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发表时间：
2010-02
影响因子：
1.3
通讯作者：
Q. P. Liu;Z. Popowicz;K. Tian
中科院分区：
文献类型：
--
作者：
Q. P. Liu;Z. Popowicz;K. Tian
介绍了倒易变换的超对称模拟。用它建立了超对称Harry Dym方程和超对称修正Korteweg-de Vries方程之间的变换。采用倒易变换作为这两个方程之间的Backlund变换，构造了超对称Harry Dym方程的递推算子。通过对递归算子的适当分解，得到了超对称Harry Dym方程的双哈密顿结构。在此基础上，提出了超对称Kawamoto方程，并将其与超对称Sawada-Kotera方程联系起来。构造了超对称Kawamoto方程的递推算子和奇双哈密顿结构。
The supersymmetric analog of the reciprocal transformation is introduced. This is used to establish a transformation between one of the supersymmetric Harry Dym equations and the supersymmetric modified Korteweg–de Vries equation. The reciprocal transformation, as a Backlund-type transformation between these two equations, is adopted to construct a recursion operator for the supersymmetric Harry Dym equation. By proper factorization of the recursion operator, a bi-Hamiltonian structure is found for the supersymmetric Harry Dym equation. Furthermore, a supersymmetric Kawamoto equation is proposed and is associated with the supersymmetric Sawada–Kotera equation. The recursion operator and odd bi-Hamiltonian structure of the supersymmetric Kawamoto equation are also constructed.