论文摘要
本文从具有三个位势的4×4的矩阵谱问题出发导出两类非线性发展方程族,并写出其中一类的第一个非平凡的方程是Satsuma-Hirota耦合KdV方程和另一类的第一个非平凡的方程。应用迹恒等式我们导出这两类方程的广义bi-Hamilton结构,并证明了它们是Liouville可积.
论文目录
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