Prolongation structures for supersymmetric equations
Prolongation structures for supersymmetric equations
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DOI：
10.1088/0305-4470/23/22/007
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发表时间：
1990-11
期刊：
影响因子：
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通讯作者：
G. Roelofs;N. W. Hijligenberg
中科院分区：
文献类型：
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作者：
G. Roelofs;N. W. Hijligenberg
将Wahlquist和Estarook(1975)的推广技巧推广到超对称方程，并应用于Manin-Radul的KdV方程的超对称推广。利用Kac-Moody李超代数理论，确定了所得到的李超代数的显式。证明了它与RMR*CoV+(C(2)，sigma)同构，其中RMR是一个八维根。由延拓结构导出了自Backlund变换，并分析了它与SKdV方程已有求解方法的关系。此外，还指出了如何得到SKdV方程的叠加原理
The well known prolongation technique of Wahlquist and Estabrook (1975) for nonlinear evolution equations is generalized for supersymmetric equations and applied to the supersymmetric extension of the KdV equation of Manin-Radul. Using the theory of Kac-Moody Lie superalgebras, the explicit form of the resulting Lie superalgebra is determined. It is shown to be isomorphic to RMR*Cov+(C(2), sigma ), where RMR is an eight-dimensional radical. An auto-Backlund transformation is derived from the prolongation structure and the relationship with known solution methods of the SKdV equation is analysed. In addition it is indicated how a super-position principle for the SKdV equation can be obtained