Supersymmetric extension of the Korteweg--de Vries equation
Supersymmetric extension of the Korteweg--de Vries equation
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DOI：
10.1063/1.528090
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发表时间：
1988-11
影响因子：
1.3
通讯作者：
P. Mathieu
中科院分区：
文献类型：
--
作者：
P. Mathieu
证明了在Korteweg-de弗里斯方程的一个单参数超对称扩张族中，存在一个特殊的系统，它具有无穷多个守恒律，可以用第二哈密顿结构表示，并且具有非平凡的Lax表示.还讨论了它的修改版本。
It is shown that among a one‐parameter family of supersymmetric extensions of the Korteweg–de Vries equation, there is a special system that has an infinite number of conservation laws, which can be formulated in the second Hamiltonian structure, and which has a nontrivial Lax representation. Its modified version is also discussed.