Lump solutions of a nonlinear PDE containing a third-order derivative of time

作者：Ding, Liyuan^*; Ma, Wen-Xiu^*; Chen, Qingxian; Huang, Yehui

来源：Applied Mathematics Letters, 2021, 112: 106809.

DOI：10.1016/j.aml.2020.106809

• Lump solution
• Hirota bilinear method
• Soliton
• Symbolic computation

A nonlinear partial differential equation combining with a third-order derivative of the time variable DxDt3 is studied. By adding a new fourth-order derivative term, its lump solutions are explicitly constructed by the Hirota bilinear method and symbolic computation. Furthermore, the effect of the new fourth-order derivative term on the solution is discussed. The dynamical behaviors of two particular lump solutions are analyzed with different choices of the parameters.

• 单位
  南京理工大学; 浙江师范大学