On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy
On bosonic limits of two recent supersymmetric extensions of the Harry Dym hierarchy
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DOI：
10.1063/1.1745128
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发表时间：
2003-10
影响因子：
1.3
通讯作者：
S. Sakovich
中科院分区：
文献类型：
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作者：
S. Sakovich
Brunelli、Das和Popowicz最近在Harry Dym族的新超对称扩展的玻色子极限[J.Math.Phys.44，4756（2003）]中发现的两个广义Harry Dym方程被变换成先前已知的可积系统：一个是一对解耦的KdV方程，另一个是一对耦合的mKdV方程。
Two generalized Harry Dym equations, recently found by Brunelli, Das, and Popowicz in the bosonic limit of new supersymmetric extensions of the Harry Dym hierarchy [J. Math. Phys. 44, 4756 (2003)], are transformed into previously known integrable systems: one, into a pair of decoupled KdV equations, the other one, into a pair of coupled mKdV equations from a bi-Hamiltonian hierarchy of Kupershmidt.