Rational solutions of the (2 1)-dimensional Kaup-Kupershmidt equation
Rational solutions of the (2 1)-dimensional Kaup-Kupershmidt equation
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(2 1) 维 Kaup-Kupershmidt 方程的有理解
DOI：
10.1016/j.aml.2019.03.034
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发表时间：
2019
影响因子：
3.7
通讯作者：
Zhu Shundong
中科院分区：
文献类型：
--
作者：
Chen Junchao;Hu Xueli;Zhu Shundong
利用孤子解的长波极限，给出了（2+1）维Kaup-Kupershirt方程的行列式形式的有理解.通过适当的参数形式，首先将孤子解转化为孤子与周期波的混合解。然后取固定参数的极限，得到有理解，它表示有理线孤子与块之间的相互作用。结果表明，有理线孤子呈现W型孤子，而块孤子则分为双峰型和单峰型。讨论了两类有理波在不同情况下的相互作用。
Rational solutions of the (2+1)-dimensional Kaup–Kupershmidt equation are presented in determinant form by taking the long wave limit of soliton solutions. With the appropriate parameters’ form, the soliton solution is firstly changed into the mixed solution consisting of solitons and periodic waves. Then taking the limit of the fixed parameter gives rise to the rational solution, which represents the interaction between the rational line soliton and the lump. It is shown that the rational line soliton exhibits the W-shaped soliton, while the lump is classified into the double-peak and the single-peak patterns. The interactions between two types of rational waves are discussed in different cases.