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Soliton molecules and some novel hybrid solutions for the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2020-08-04 , DOI: 10.1088/1572-9494/aba23f
Hongcai Ma 1, 2 , Qiaoxin Cheng 1 , Aiping Deng 1, 2
Affiliation  

Soliton molecules have become one of the hot topics in recent years. In this article, we investigate soliton molecules and some novel hybrid solutions for the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt (gKDKK) equation by using the velocity resonance, module resonance, and long wave limits methods. By selecting some specific parameters, we can obtain soliton molecules and asymmetric soliton molecules of the gKDKK equation. And the interactions among N-soliton molecules are elastic. Furthermore, some novel hybrid solutions of the gKDKK equation can be obtained, which are composed of lumps, breathers, soliton molecules and asymmetric soliton molecules. Finally, the images of soliton molecules and some novel hybrid solutions are given, and their dynamic behavior is analyzed.

中文翻译:

(2 + 1)维广义Konopelchenko–Dubrovsky–Kaup–Kupershmidt方程的孤子分子和一些新颖的混合解

孤子分子已成为近年来的热门话题之一。在本文中,我们使用速度共振,模共振和长波极限方法研究了(2 + 1)维广义Konopelchenko–Dubrovsky–Kaup–Kupershmidt(gKDKK)方程的孤子分子和一些新颖的混合解。通过选择一些特定的参数,我们可以获得gKDKK方程的孤子分子和非对称孤子分子。N-孤子分子之间的相互作用是弹性的。此外,可以获得由团块,通气孔,孤子分子和不对称孤子分子组成的gKDKK方程的一些新型混合解。最后,给出了孤子分子的图像和一些新颖的混合溶液,并分析了它们的动力学行为。
更新日期:2020-08-05
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