Exact solutions of the Kudryashov-Sinelshchikov equation in ideal liquid with gas bubbles
Exact solutions of the Kudryashov-Sinelshchikov equation in ideal liquid with gas bubbles
复制标题
含气泡理想液体中 Kudryashov-Sinelshchikov 方程的精确解
DOI：
10.1088/1402-4896/aae728
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发表时间：
2018
期刊：
影响因子：
2.9
通讯作者：
Chen Ai-Hua
中科院分区：
文献类型：
--
作者：
Zhou Ai-Juan;Chen Ai-Hua
本文研究了理想液体中含气泡的Kudryashov-Sinelshchikov方程的精确解。基于双线性方程，我们得到了N-孤波解。对于复参数，得到了周期波解和孤立波与周期波的交错解。利用长波极限法，给出了具有集块的孤立波的集块解和交错解。在不同的坐标平面上，可以观察到不同的现象，包括孤立波与周期波的相互作用以及孤立波与流氓波的相互作用。
In this paper, we study exact solutions of the Kudryashov–Sinelshchikov equation in ideal liquid with gas bubbles. Based on the bilinear equation, we get N-solitary wave solutions. For complex parameters, periodic wave solutions and interactional solutions of solitary waves with periodic waves are obtained. By using the long wave limit method, we present lump solutions and interactional solutions of solitary waves with lumps. In different coordinate planes, it is interesting to find different phenomena, including interactions of solitary waves with periodic waves and interactions of solitary waves with rogue waves.