THE TRACE INDENTITY, A POWERFUL TOOL FOR CONSTRUCTING THE HAMILTONIAN STRUCTURE OF INTEGRABLE SYSTEMS （III）
THE TRACE INDENTITY, A POWERFUL TOOL FOR CONSTRUCTING THE HAMILTONIAN STRUCTURE OF INTEGRABLE SYSTEMS （III）
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发表时间：
1996
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通讯作者：
Tuguizhang;Xubaozhi
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作者：
Tuguizhang;Xubaozhi
讨论了两个包含三个势函数u，v和To的等谱问题.导出了相应的非线性发展方程族。结果表明，这两类方程有一个共同的有趣性质，即它们都允许势之间的非线性约化w = γuv，其中γ为常数。在这两种约化情形下，利用迹恒等式建立了相应的哈密顿结构.
Two isospectred-problerns, that contain three potentied u, v and To, are discussed. The corresponding hierarchies of nonlinear evolution equations are derived. It is shown that both thetwo hierarchies of equations share a common interesting character that they admit a nonlinearreduction w = γuv between the potentlals with γ being a constant. In both the reduction cases the relevant Hamiltonian structures are established by using trace identity.