Soliton solutions, lump solutions, breather solutions and soliton molecules are hot topics in recent years. And soliton molecules have been successfully discovered in optical experiments. In this paper, we firstly use the Hirota bilinear method to obtain the multiple solitary wave solutions of the (3+1)-dimensional Jimbo-Miwa equation. Secondly, on the basis of soliton solutions, the soliton molecule of the equation is studied by means of the velocity resonance condition, and the dynamic diagram of the specific case is given. Finally, we study the hybrid solution of the equation involving soliton, lump, breather, and soliton molecule.

中文翻译：

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孤子分子和(3+1)维Jimbo-Miwa方程的一些相互作用解

孤子解、块解、呼吸器解和孤子分子是近年来的热门话题。并且在光学实验中成功地发现了孤子分子。在本文中，我们首先使用Hirota双线性方法获得了(3+1)维Jimbo-Miwa方程的多重孤立波解。其次，在孤子解的基础上，利用速度共振条件研究了方程的孤子分子，给出了具体情况的动力学图。最后，我们研究了涉及孤子、块、呼吸器和孤子分子的方程的混合解。