Wronskian and lump wave solutions to an extended second KP equation

作者：Cheng, Li^*; Zhang, Yi; Ma, Wen-Xiu; Ge, Jian-Ya

来源：MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 187: 720-731.

DOI：10.1016/j.matcom.2021.03.024

• The extended second KP equation
• Wronskian determinant
• Lump solutions
• Trilinear form

The letter aims to generalize the second KP equation to a new one which still possesses a trilinear form. We construct Wronskian determinant solutions, based on its associated trilinear equation, instead of a Hirota bilinear form. Multi-soliton solutions are generated from the presented Wronskian formulation with higher-order dispersion relations. It is then shown that the extended second KP equation possesses resonant N-wave solutions. Moreover, generic one-lump and two-lump waves are built via the improved long wave limit procedure.

• 单位
  西北大学; 浙江师范大学