三阶波族问题的Hamilton形式
Hamiltonian formalism in a problem of 3-th waves hierarchy
摘要:
利用离散变换的方法,构造了三阶波族方程.我们提出了明确的形式两个泊松结构,它允许构建哈密顿算子随之而来的应用程序,导致所有方程的这个层次。对于计算,这将是必要的结果,以前的文件\cite{1},为了方便读者,我们目前在相应的地方的文字。通过独立计算对所得公式进行了检验。
英文摘要:
By the method of discrete transformation equations of 3-th wave hierarchy are constructed. We present in explicit form two Poisson structures, which allow to construct Hamiltonian operator consequent application of which leads to all equations of this hierarchy. For calculations it will be necessary results of previous paper \cite{1}, which for convenience of the reader we present in corresponding place of the text. The obtained formulae are checked by independent calculations.
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