Deformations of the KdV hierarchy and related soliton equations
Deformations of the KdV hierarchy and related soliton equations
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DOI：
10.1155/s1073792896000062
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发表时间：
1995-11
影响因子：
1
通讯作者：
E. Frenkel
中科院分区：
文献类型：
--
作者：
E. Frenkel
我们定义了微分族--Q-差分方程族，它们是广义KdV族的方程的Q-变形。我们证明了这些族是双哈密尔顿的，其中一种哈密顿结构是由Reshetikhin和作者定义的sl(N)的q-变形经典W-代数的哈密顿结构。我们还发现了mKdV族和仿射Toda方程的Q-形变。
We define hierarchies of differential--q-difference equations, which are q-deformations of the equations of the generalized KdV hierarchies. We show that these hierarchies are bihamiltonian, one of the hamiltonian structures being that of the q-deformed classical W-algebra of sl(N), defined by Reshetikhin and the author. We also find q-deformations of the mKdV hierarchies and the affine Toda equations.