Soliton solutions to the Novikov equation and a negative flow of the Novikov hierarch
Soliton solutions to the Novikov equation and a negative flow of the Novikov hierarch
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诺维科夫方程的孤子解和诺维科夫层次结构的负流
DOI：
10.1016/j.aml.2018.07.036
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发表时间：
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通讯作者：
Nianhua Li
中科院分区：
文献类型：
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作者：
Lihua Wu;Chao Li;Nianhua Li
通过倒易变换，Novikov方程和Novikov方程的负流分别对应于Sawada-Kotera方程和Sawada-Kotera方程的负流。借助于Sawada-Kotera方程的负流的Darboux变换、Sawada-Kotera方程和倒易变换，我们得到了Novikov方程的N孤子解和Novikov方程的负流的参数表示。
The Novikov equation and a negative flow of the Novikov hierarchy are related to a negative flow of the Sawada–Kotera hierarchy and the Sawada–Kotera equation by reciprocal transformations, respectively. With the help of the Darboux transformations for the negative flow of the Sawada–Kotera hierarchy, the Sawada–Kotera equation and reciprocal transformations, we obtain a parametric representation for N-soliton solutions to the Novikov equation and the negative flow of the Novikov hierarchy.