Bilinear forms through the binary Bell polynomials, N solitons and B(a)cklund transformations of the Boussinesq-Burgers system for the shallow water waves in a lake or near an ocean beach

• 作者: Wen-Rui Shan Xin-Yi Gao Yong-Jiang Guo
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2020,（9）
• 所属期刊栏目: MATHEMATICAL PHYSICS
• 页码范围: 8-12
• 页数: 5页
• 语种: 英文

摘要

Water waves are one of the most common phenomena in nature,the studies of which help energy development,marine/offshore engineering,hydraulic engineering,mechanical engineering,etc.Hereby,symbolic computation is performed on the Boussinesq-Burgers system for shallow water waves in a lake or near an ocean beach.For the water-wave horizontal velocity and height of the water surface above the bottom,two sets of the bilinear forms through the binary Bell polynomials and N-soliton solutions are worked out,while two auto-B(a)cklund transformations are constructed together with the solitonic solutions,where N is a positive integer.Our bilinear forms,N-soliton solutions and B(a)cklund transformations are different from those in the existing literature.All of our results are dependent on the water-wave dispersive power.