Soliton solutions to the B-type Kadomtsev-Petviashvili equation under general dispersion relations

Authors：Ma, Wen-Xiu^*; Yong, Xuelin; Lu, Xing

Source：Wave Motion, 2021, 103: 102719.

DOI：10.1016/j.wavemoti.2021.102719

• N-soliton solution
• Hirota N-soliton condition
• The B-type Kadomtsev-Petviashvili equation

We analyze soliton solutions and verify the Hirota N-soliton condition for the B-type Kadomtsev-Petviashvili equation, within the Hirota bilinear formulation. A weight number is used in an algorithm to check the Hirota condition while transforming the Hirota function in N wave vectors to a homogeneous polynomial. Soliton solutions are presented under general dispersion relations.

• Institution
  西北大学; 北京交通大学; 浙江师范大学