A New (3+1)-dimensional Hirota Bilinear Equation: Its Backlund Transformation and Rational-type Solutions

Authors：Hosseini, Kamyar^*; Samavat, Majid; Mirzazadeh, Mohammad; Ma, Wen-Xiu; Hammouch, Zakia

Source：REGULAR & CHAOTIC DYNAMICS, 2020, 25(4): 383-391.

DOI：10.1134/S156035472004005X

• new (3+1)-dimensional Hirota bilinear equation
• Backlund transformation
• Hirota bilinear form
• rational-type solutions

The behavior of specific dispersive waves in a new (3+1)-dimensional Hirota bilinear (3D-HB) equation is studied. A Backlund transformation and a Hirota bilinear form of the model are first extracted from the truncated Painleve expansion. Through a series of mathematical analyses, it is then revealed that the new 3D-HB equation possesses a series of rational-type solutions. The interaction of lump-type and 1-soliton solutions is studied and some interesting and useful results are presented.

• Institution
  浙江师范大学