Classification of integrable polynomial vector evolution equations

Classification of integrable polynomial vector evolution equations
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DOI:
10.1088/0305-4470/34/49/327
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发表时间:
2001-11
期刊:
Journal of Physics A
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考虑具有一个或两个向量未知数的几类演化方程组。我们还研究具有一个向量和一个未知标量的系统。对于这些类别,列出了具有最简单的更高对称性的所有方程。
Several classes of systems of evolution equations with one or two vector unknowns are considered. We also investigate systems with one vector and one scalar unknown. For these classes all equations having the simplest higher symmetry are listed.