耿-薛方程的光滑多孤子解
Smooth multisoliton solutions of the Geng-Xue equation
摘要：
我们提出了一个相互转换的链接耿薛方程的第一个负流的Boussinesq层次的一个特定的减少。本文分别讨论了Degasperis-Procesi方程和Novikov方程的倒易变换的两种约化。借助于达布变换和互逆变换，我们得到了耿-薛方程的光滑孤子解（如多扭结解）的一个紧致参数表示.
英文摘要：
We present a reciprocal transformation which links the Geng-Xue equation to a particular reduction of the first negative flow of the Boussinesq hierarchy. We discuss two reductions of the reciprocal transformation for the Degasperis-Procesi and Novikov equations, respectively. With the aid of the Darboux transformation and the reciprocal transformation, we obtain a compact parametric representation for the smooth soliton solutions such as multi-kink solutions of the Geng-Xue equation.
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