-
利用Miura变换和Cole-Hopf变换,证明了Kaup-Kupershmidt方程的10族时间无关对称构成一个非Abel李代数。与10族对称相应的10族方程具有共同的强对称,10族可积模型的时间无关对称及其构成的李代数亦被给定。Using the Miura and Cole-Hopf transformations, we prove that ten sets of time independent symmetries of the Kaup-Kupershmidt equation constitute a non-Abelian Lie algebra. Ten hierarchies of equations corresponding to these ten sets of symme-tries possess a common strong symmetry. The time independent symmetries of ten hierarchies of integrable models and the Lie algebras constituted by these symmetries are also given.
计量
- 文章访问数: 7341
- PDF下载量: 684
- 被引次数: 0