Pfaffian solutions and extended Pfaffian solutions to (3+1)-dimensional Jimbo-Miwa equation

作者：Tang, Yaning^*

来源：Applied Mathematical Modelling, 2013, 37(10-11): 6631-6638.

DOI：10.1016/j.apm.2013.01.037

• (3+1)-Dimensional Jimbo-Miwa equation
• Hirota bilinear equation
• Pfaffian solutions
• Linear partial differential condition
• Soliton solutions

Based on the Pfaffian derivative formula and Hirota bilinear method, the Pfaffian solutions to (3 + 1)-dimensional Jimbo-Miwa equation are obtained under a set of linear partial differential condition. Moreover, we extend the linear partial differential condition and proved that (3 + 1)-dimensional Jimbo-Miwa equation has extended Pfaffian solutions. As examples, special exact two-soliton solution and three-soliton solution are computed and plotted. Our results show that (3 + 1)-dimensional Jimbo-Miwa equation has Pfaffian solutions like BKP equation.

• 出版日期2013-6-1
• 单位西北工业大学