On computer-assisted classification of coupled integrable equations
On computer-assisted classification of coupled integrable equations
复制标题
DOI：
10.1145/384101.384120
复制
发表时间：
2001-07
期刊：
影响因子：
--
通讯作者：
M. V. Foursov;M. M. Maza-M.
中科院分区：
文献类型：
--
作者：
M. V. Foursov;M. M. Maza-M.
我们展示了如何三角化方法的第二作者可以成功地应用到齐次耦合可积方程的分类问题。分类依赖于最近的算法开发的第一作者，需要解决17个系统的多项式方程。我们表明，这些系统可以完全解决的情况下，耦合Korteweg-de弗里斯，泽田-Kotera和Kaup-Kupershirt型方程。
We show how the triangularization method of the second author can be successfully applied to the problem of classification of homogeneous coupled integrable equations. The classifications rely on the recent algorithm developed by the first author that requires solving 17 systems of polynomial equations. We show that these systems can be completely resolved in the case of coupled Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt—type equations.