Lump, lumpoff and predictable rogue wave solutions to a dimensionally reduced Hirota bilinear equation

• 来源期刊: 中国物理B（英文版）
• 关键词: dimensionally reduced Hirota bilinear equation more general form of lump solution lumpoff solution rogue wave solution
• 年，卷（期）: 2020,（4）
• 页码范围: 194-201
• 页数: 8页
• 语种: 英文
• DOI: 10.1088/1674-1056/ab75d7

摘要

We study a simplified (3+1)-dimensional model equation and construct a lump solution for the special case of z=y using the Hirota bilinear method. Then, a more general form of lump solution is constructed, which contains more arbitrary autocephalous parameters. In addition, a lumpoff solution is also derived based on the general lump solutions and a stripe soliton. Furthermore, we figure out instanton/rogue wave solutions via introducing two stripe solitons. Finally, one can better illustrate these propagation phenomena of these solutions by analyzing images.