论文标题
Geng-Xue方程的平滑多层溶液
Smooth multisoliton solutions of the Geng-Xue equation
论文作者
论文摘要
我们提出了一个相互的转换，该转换将geng-xue方程与Boussinesq层次结构的第一个负流量的特定降低联系起来。我们分别讨论了Degasperis-Procesi和Novikov方程的相互转换的两种减少。借助Darboux转换和相互转化，我们获得了平滑孤子溶液（例如Geng-Xue方程的多键溶液）的紧凑参数表示。
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.
