Mixed lump-kink and rogue wave-kink solutions for a (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics
Mixed lump-kink and rogue wave-kink solutions for a (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation in fluid mechanics
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DOI：
10.1140/epjp/i2018-11875-5
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发表时间：
2018-02
期刊：
影响因子：
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通讯作者：
Cong-Cong Hu-Cong;B. Tian;Xiao-Yu Wu;Yu-Qiang Yuan;Zhong Du
中科院分区：
文献类型：
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作者：
Cong-Cong Hu-Cong;B. Tian;Xiao-Yu Wu;Yu-Qiang Yuan;Zhong Du
正在研究的是一个（3 + 1）维b型Kadomtsev-Petviashvili方程，它描述了流体中的弱色散波。通过Hirota方法和符号计算，我们得到了混合块状扭结和混合不规则波扭结的解。通过块状-扭结混合解，我们观察到一个块状和一个扭结之间的三种不同现象。对于聚变现象，块状和扭结合并，块状的能量逐渐转移到扭结中，直到块状完全合并到扭结中。裂变现象表明一个团块从一个扭结中分离出来。最后一种现象表明，一个团块与一个扭结一起运动，其振幅不变。此外，我们图解地研究了一个异常波和一对扭结之间的相互作用。可以观察到，异常波从一个扭结产生，消失在另一个扭结中。在某一时刻，异常波的振幅达到最大值。
Under investigation is a (3 + 1) -dimensional B-type Kadomtsev-Petviashvili equation, which describes the weakly dispersive waves in a fluid. Via the Hirota method and symbolic computation, we obtain the mixed lump-kink and mixed rogue wave-kink solutions. Through the mixed lump-kink solutions, we observe three different phenomena between a lump and one kink. For the fusion phenomenon, a lump and a kink are merged with the lump’s energy transferring into the kink gradually, until the lump merges into the kink completely. Fission phenomenon displays that a lump separates from a kink. The last phenomenon shows that a lump travels together with a kink with their amplitudes unchanged. In addition, we graphically study the interaction between a rogue wave and a pair of the kinks. It can be observed that the rogue wave arises from one kink and disappears into the other kink. At certain time, the amplitude of the rogue wave reaches the maximum.