Lump solution and integrability for the associated Hirota bilinear equation

详细信息    查看全文

• 作者：Chuanjian Wang
• 关键词：Binary Bell polynomial ; Hirota’s bilinear form ; Bäcklund transformation ; Lax pair ; Complexiton solution ; Lump solution
• 刊名：Nonlinear Dynamics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：87
• 期：4
• 页码：2635-2642
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems, Control; Classical Mechanics; Mechanical Engineering; Automotive Engineering;
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：87

文摘

This paper studies lump solution and integrability for the associated Hirota bilinear equation. The integrability in the sense of Lax pair and the bilinear Bäcklund transformations is presented by the binary Bell polynomial method. The lump solution is derived when the period of complexiton solution goes to infinite. Conversely, complexiton solution can also be derived from the lump solution. Complexiton solution is a superposition structure of lump solutions. The dynamics of the lump solution are investigated and exhibited mathematically and graphically. These results further supplement and enrich the theories for the associated Hirota bilinear equation. It is hoped that these results might provide us with useful information on the dynamics of the relevant fields in nonlinear science.