Resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation

Resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation
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Kudryashov-Sinelshchikov 方程的谐振孤波和谐振周期波解

DOI:
10.1088/1402-4896/ab9c51
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发表时间:
2020-06
期刊:
影响因子:
2.9
通讯作者:
Chen Ai-Hua
Chen Ai-Hua
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Jin Yuan-Ting;Chen Ai-Hua

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在本文中,我们研究了 Kudryashov-Sinelshchikov 方程的谐振孤立波和谐振周期波解。基于 Hirota 双线性形式,我们得到了多孤立波解。特别是,我们发现了融合孤立波解,其中N个孤立波相互作用,融合成一个孤立波;融合周期波解,其中两个平行或相交的周期波相互作用,融合成一个周期波。给出了解的渐近性质和交互图。
In this paper, we study resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation. Based on the Hirota bilinear form, we obtain multi-solitary wave solutions. Particularly, we find fusional solitary wave solution where N-solitary waves interact with each other to fuse into one solitary wave and fusional periodic wave solution where two parallel or intersecting periodic waves interact with each other to fuse into one periodic wave. The asymptotic properties and the interactional plots of the solutions are presented.
DOI: 10.1016/j.camwa.2018.05.024
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