文献类型：期刊文献

英文题名：Multi-soliton, Breather, Lump and Their Interactions of the (2+1)-dimensional Generalized Potential Kadomtsev-Petviashvili Equation

作者：Wei, Pengfei[1];Zhao, Zhi[1];Ling, Siyu[1];Gui, Rubing[1];Chen, Ye[1];Wang, Wanli[2];Ren, Bo[2]

机构：[1]Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China;[2]Zhejiang Univ Technol, Sch Math Sci, Hangzhou 310014, Peoples R China

年份：2024

卷号：31

期号：1

外文期刊名：JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:001372861100001)、、Scopus(收录号：2-s2.0-85212045256)、WOS

基金：Not applicable.

语种：英文

外文关键词：Hirota bilinear method; Long wave limit method; Lump; Breather

外文摘要：In this paper, the generalized potential Kadomtsev-Petviashvili (gpKP) equation from fluid physics is systematic studied by some effective methods. Based on the Hirota bilinear method, multi-soliton solutions and multi-order breathers of the gpKP equation are presented. In the meanwhile, the multi-soliton can be transformed into the multi-order lumps under the long wave limit method. Furthermore, the interactions among the multi-soliton, multi-order breathers and multi-order lumps are discussed and simulated as well. The interaction between one-order lump and two solitons is elastic due to their shapes and amplitudes unchanged after collisions. The obtained results can immensely augment in understanding the nonlinear dynamic system deeply.