High-order breather,M-kink lump and semi-rational solutions of potential Kadomtsev-Petviashvili equation

• 作者: Yulei Cao Yi Cheng Jingsong He Yiren Chen
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 28-35
• 页数: 8页
• 语种: 英文

摘要

N-kink soliton and high-order synchronized breather solutions for potential Kadomtsev-Petviashvili equation are derived by means of the Hirota bilinear method,and the limit process of high-order synchronized breathers are shown.Furthermore,M-lump solutions are also presented by taking the long wave limit.Additionally,a family of semi-rational solutions with elastic collision are generated by taking a long-wave limit of only a part of exponential functions,their interaction behaviors are shown by three-dimensional plots and contour plots.