【摘要】 本文利用新的等谱特征值问题 ,首先为 1类耦合的非线性演化方程建立了 1个具有多个参数的 N-波 Darboux变换。通过约化 ,得到了 1族可积孤子方程的 Darboux变换。作为应用 ,获得了该孤子方程的类孤子解 ,并借助 Mathematica软件画出了其中 1个新解的图形更多还原

【Abstract】 An explicit N fold Darboux transformation with mu lt i parameters for a kind of coupled nonlinear evolution equation is constructed with the help of a new spectral problem. By means of reduction, the Darboux tra nsformations of a hierarchy of integrable equations are obtained. Furthermore,th e soliton like solutions of the equation are given by applying its Darboux tran sformation. With the help of Mathematica, the plots of one of these solutions ar e given.更多还原