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Non-Abelian Evolution Systems with Conservation Laws
Mathematical Physics, Analysis and Geometry ( IF 1 ) Pub Date : 2021-03-13 , DOI: 10.1007/s11040-021-09382-6
V. E. Adler , V. V. Sokolov

We find noncommutative analogs for well-known polynomial evolution systems with higher conservation laws and symmetries. The integrability of obtained non-Abelian systems is justified by explicit zero curvature representations with spectral parameter.



中文翻译:

具有守恒律的非阿贝尔演化系统

我们找到了具有较高守恒律和对称性的著名多项式演化系统的非可交换类比。获得的非阿贝尔系统的可积性通过具有光谱参数的显式零曲率表示来证明。

更新日期:2021-03-15
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