An operator valued extension of the super Korteweg–de Vries equations
An operator valued extension of the super Korteweg–de Vries equations
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DOI：
10.1063/1.1368139
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发表时间：
2000-07
影响因子：
1.3
通讯作者：
S. Andrea;A. Sotomayor;A. Restuccia
中科院分区：
文献类型：
--
作者：
S. Andrea;A. Sotomayor;A. Restuccia
得到了超Korteweg-de Vries （KdV）可积系统在算子值函数上的推广。根据Gardner的思想，给出了求可积系统无穷多守恒量的一般代数方法。将该方法应用于上述系统，构造了无穷多个守恒量。在特定的情况下，它们减少到相应的超级KdV的守恒量。
An extension of the super Korteweg–de Vries (KdV) integrable system in terms of operator valued functions is obtained. Following the ideas of Gardner, a general algebraic approach for finding the infinitely many conserved quantities of integrable systems is presented. The approach is applied to the above described system and infinitely many conserved quantities are constructed. In a particular case they reduce to the corresponding conserved quantities of super KdV.