In this paper, M-lump and interaction between lumps and kink solitons of the $$(2+1)$$ -dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada equation are studied based on Hirota bilinear form. M-lump solutions are derived by taking a ‘long wave’ limit of the N-soliton solutions, and the lump–kink solutions are presented consequently. In addition, evolutions of solutions are shown by choosing certain parameters.

中文翻译：

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$$(2+1)$$维Caudrey-Dodd-Gibbon-Kotera-Sawada方程的M-块和块-扭结解

本文基于Hirota双线性形式研究了$$(2+1)$$维Caudrey-Dodd-Gibbon-Kotera-Sawada方程的M-块以及块与扭结孤子之间的相互作用。M-lump 解是通过采用 N-孤子解的“长波”极限推导出来的，因此给出了块扭结解。此外，通过选择某些参数来显示解决方案的演变。