Solitary wave, M-lump and localized interaction solutions to the (4+1)-dimensional Fokas equation
Solitary wave, M-lump and localized interaction solutions to the (4+1)-dimensional Fokas equation
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DOI：
10.1088/1402-4896/ab6a3f
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发表时间：
2020-02
期刊：
影响因子：
2.9
通讯作者：
Wanhui Zhang;T. Xia
中科院分区：
文献类型：
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作者：
Wanhui Zhang;T. Xia
目前，许多研究者非常关注非线性偏微分方程的解。因为这些解可以很好地解释物理现象。本文给出了（4+1）维Fokas方程的孤子解、可裂变波解、m -块解和相互作用解。利用Hirota双线性方法，构造了n孤子解。然后，在得到的解的基础上，通过适当选择参数来确定可裂变波解。应用长波极限法，限制相关孤子的共轭条件，导出了m块解。得到了描述块与孤子、块与两个孤子、块与可裂变孤子波相互作用的解。此外，还给出了一些图形来证明显式解析局域波解的动力学性质。
At present, many researchers pay close attention to the solutions of nonlinear partial differential equations. Because these solutions can explain physical phenomena well. In this paper, soliton solutions, fissionable wave solutions, M-lump solutions and interaction solutions of the (4+1)-dimensional Fokas equation are explicitly generated. Taking advantage of the Hirota bilinear method, N-soliton solutions are constructed. Then, on bases of the obtained solutions, fissionable wave solutions are ascertained by appropriate selections of parameters. Applying the long wave limit method and restricting the conjugation conditions on the related solitons, M-lump solutions are derived. Afterwards, the interaction solutions which describe interactions of a lump and a soliton, a lump and two solitons, a lump and fissionable solitary waves are gained. Moreover, some graphs are given out to demonstrate the dynamic properties of the explicit analytical localized wave solutions.