Nonautonomous lump waves of a (3+1)-dimensional Kudryashov-Sinelshchikov equation with variable coefficients in bubbly liquids
Nonautonomous lump waves of a (3+1)-dimensional Kudryashov-Sinelshchikov equation with variable coefficients in bubbly liquids
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DOI：
10.1007/s11071-021-06570-5
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发表时间：
2021-06-06
影响因子：
5.6
通讯作者：
Li, Min
中科院分区：
文献类型：
--
作者：
Hu, Zhengran;Wang, Feifan;Li, Min
在本文中，我们研究了（3+1）维变系数Kudryashov-Sinelshchikov（vc-KS）方程，该方程描述了气泡液体中非自主非线性波的演化。 vc-KS 方程的非自治集总解是通过 Hirota 双线性技术产生的。利用变色散系数分析了该波的轨迹和速度特征。基于正二次函数假设，我们进一步讨论了周期调制和指数调制下孤子和集总之间的两种相互作用。然后，我们给出显示周期性振荡行为的呼吸块波。最后，我们得到二阶非自治集总解，如果我们选择三角函数作为色散系数，它也显示出周期性相互作用。
In this paper, we study the (3+1)-dimensional variable-coefficient Kudryashov-Sinelshchikov (vc-KS) equation, which characterizes the evolution of nonautonomous nonlinear waves in bubbly liquids. The nonautonomous lump solutions of the vc-KS equation are produced via the Hirota bilinear technique. The characteristics of trajectory and velocity of this wave are analyzed with variable dispersion coefficients. Based on the positive quadratic function assumption, we further discuss two types of interactions between the soliton and lump under the periodic and exponential modulations. Then, we give the breathing lump waves showing the periodic oscillation behavior. Finally, we obtain the second-order nonautonomous lump solution, which also shows periodic interactions if we select trigonometric functions as the dispersion coefficients.