The mixed interaction of localized, breather, exploding and solitary wave for the (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics
The mixed interaction of localized, breather, exploding and solitary wave for the (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics
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DOI：
10.1007/s11071-020-05598-3
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发表时间：
2020-04
影响因子：
5.6
通讯作者：
Weitian Yu;Hongxin Zhang;Qin Zhou;A. Biswas;A. K. Alzahrani;Wenjun Liu
中科院分区：
文献类型：
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作者：
Weitian Yu;Hongxin Zhang;Qin Zhou;A. Biswas;A. K. Alzahrani;Wenjun Liu
具有弱非线性、色散和微扰的(3+1)维Kadomtsev-Petviashvili (KP)方程可以表示流体动力学中长波和表面波的发展。本文通过符号计算来说明KP方程。采用Hirota方法推导了方程的局域波、孤立波、呼吸波、爆炸波和周期波的混合相互作用解。研究了色散、非线性和其他参数对相互作用的影响。通过引入局波可以放大孤立波。调整参数可以使局域波和呼吸波的传输更加稳定。此外，还观察到了新的爆炸性周期性波。它对于丰富波解的动态模式很有用。
The (3+1)-dimensional Kadomtsev–Petviashvili (KP) equation with weak nonlinearity, dispersion and perturbation can denote the development of the long waves and the surface waves in fluid dynamics. In this paper, the KP equation is illustrated with the symbolic computation. The mixed interaction solutions of local wave, solitary wave, breather wave, exploding wave and periodic wave for the equation are derived by the Hirota method. The effects of dispersion, nonlinearity and other parameters on the interactions are investigated. The solitary wave can be amplified via introducing the local wave. Adjusting the parameters can make the transmission of localized and breather wave more stable. Moreover, a new exploding and periodic wave is observed. It is useful for enriching the dynamic patterns of the wave solutions.