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N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation
Results in Physics ( IF 4.4 ) Pub Date : 2021-04-28 , DOI: 10.1016/j.rinp.2021.104168
Haixia Zhang , Jalil Manafian , Gurpreet Singh , Onur Alp Ilhan , Angelina Olegovna Zekiy

With the aid of the binary Hirota polynomial scheme, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation, is constructed. Then, several classes of rogue waves-type solutions to the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation within the frame of the bilinear equation are found. Finally, M-soliton solution and N-soliton based on the frame of the bilinear and expansion of summation multiple soliton solutions were used to get different types of k-solitons waves of this considered model. The physical phenomena of these gained multiple soliton solutions are analyzed and indicated in figures by selecting suitable values. These results can help us better understand interesting physical phenomena and mechanism.



中文翻译:

局部波到(2 +1)维广义KP方程的N集总和相互作用解

借助二元Hirota多项式方案,构造了广义(3 +1)维Kadomtsev-Petviashvili方程的双线性形式。然后,在双线性方程的框架内,找到了针对广义(3 +1)维Kadomtsev-Petviashvili方程的几类流浪型解。最后,基于双线性框架和求和的多个孤子解的展开,使用M孤子解和N孤子来获得该模型的不同类型的k孤子波。通过选择合适的值,对这些获得的多个孤子解决方案的物理现象进行了分析,并在图中表示出来。这些结果可以帮助我们更好地理解有趣的物理现象和机理。

更新日期:2021-05-04
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