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N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-06-18 , DOI: 10.1016/j.geomphys.2021.104312
Xuejun Zhou , Onur Alp Ilhan , Jalil Manafian , Gurpreet Singh , Nalbiy Salikhovich Tuguz

Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation. Based on the bilinear Hirota method, the M-lump solution and N-soliton solution are constructed by giving some special activation functions in the considered model. By means of symbolic computation, these analytical solutions and corresponding rogue waves are obtained with the aid of Maple software. Then, by employing the long wave limit method to the N-soliton solutions, M-lump solutions including 1-lump, 2-lump and 3-lump and the hybrid solutions between lump and solitons and between M-lump and soliton were obtained. Finally, via symbolic computation, their dynamic structures and physical properties were vividly shown by plotting different three-dimensional designs, two-dimensional designs, density designs. These solutions have greatly enriched the exact solutions of (2+1)-dimensional generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation on the existing literature.



中文翻译:

(2+1) 维广义 KDKK 方程的局域波的 N-lump 和相互作用解

本文研究的是广义的 (2+1) 维 Konopelchenko-Dubrovsky-Kaup-Kupershmidt 方程。在双线性Hirota方法的基础上,通过在所考虑的模型中给出一些特殊的激活函数来构造M- lump解和N-孤子解。通过符号计算,借助 Maple 软件获得这些解析解和相应的流氓波。然后,通过对N-孤子解、M -lump解包括1-lump、2-lump和3-lump以及块与孤子和M之间的混合解,采用长波极限方法-块和孤子。最后,通过符号计算,通过绘制不同的三维设计、二维设计、密度设计,生动地展示了它们的动态结构和物理特性。这些解极大地丰富了现有文献中(2+1)维广义(2+1)维Konopelchenko-Dubrovsky-Kaup-Kupershmidt方程的精确解。

更新日期:2021-06-23
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