A more general form of lump solution, lumpoff, and instanton/rogue wave solutions of a reduced (3+1)-dimensional nonlinear evolution equation

• 来源期刊: 中国物理B（英文版）
• 关键词: a reduced (3+1)-dimensional nonlinear evolution equation more general form of lump solution oliton induced by lump lumpoff and instanton/rogue wave solutions
• 年，卷（期）: 2018,（12）
• 页码范围: 168-178
• 页数: 11页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/12/120201

摘要

In this manuscript, a reduced (3+1)-dimensional nonlinear evolution equation is studied. We first construct the bilinear formalism of the equation by using the binary Bell polynomials theory, then explore a lump solution to the special case for z=x. Furthermore, a more general form of lump solution of the equation is found which possesses seven arbitrary parameters and four constraint conditions. By cutting the lump by the induced soliton(s), lumpoff and instanton/rogue wave solutions are also constructed by the more general form of lump solution.