Hybrid exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles
Hybrid exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles
复制标题
含气泡液体中(3 1)维变系数非线性波动方程的混合精确解
DOI：
10.1016/j.rinp.2021.103926
复制
发表时间：
2021
影响因子：
5.3
通讯作者：
Chen Ai-Hua
中科院分区：
文献类型：
--
作者：
Guo Ya-Ru;Chen Ai-Hua
In this paper, we study some exact solutions of the (3 + 1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles. Based on a given transformation and the bilinear form, together with symbolic computations, we obtain the multi-soliton solutions and periodic solutions includingX-periodic,Y-periodic and 2-periodic wave solutions. By using of the long wave limit method, we obtain lump solutions and lump-periodic solutions that lumps moving on a background with different periodic waves. The properties of the solutions are analyzed graphically.
