Equation for the three-dimensional nonlinear waves in liquid with gas bubbles
Equation for the three-dimensional nonlinear waves in liquid with gas bubbles
复制标题
DOI：
10.1088/0031-8949/85/02/025402
复制
发表时间：
2012-01
期刊：
影响因子：
2.9
通讯作者：
N. Kudryashov;D. Sinelshchikov
中科院分区：
文献类型：
--
作者：
N. Kudryashov;D. Sinelshchikov
在三维（3D）的情况下，在液体中含有气泡的非线性波被认为是。给出了描述长非线性压力波的非线性发展方程。结果表明，在一般情况下，方程是不可积的。给出了非线性发展方程的一些精确解。应用广田方法，在三维情况下的不可积发展方程的多孤子解的发现。研究了一维孤立波的稳定性。结果表明，一维孤立波对横向扰动是稳定的。
Nonlinear waves in a liquid containing gas bubbles are considered in the three-dimensional (3D) case. The nonlinear evolution equation is given for a description of long nonlinear pressure waves. It is shown that in the general case the equation is not integrable. Some exact solutions for the nonlinear evolution equation are presented. The application of the Hirota method is illustrated for finding multi-soliton solutions for the nonintegrable evolution equation in the 3D case. The stability of the 1D solitary waves is investigated. It is shown that the 1D solitary waves are stable to transverse perturbations.