Collision phenomena among lump, periodic and stripe soliton solutions to a (2 + 1)-dimensional Benjamin–Bona–Mahony–Burgers Model
Department of Mathematics, Comilla University, 3506, Cumilla, Bangladesh
2 Department of Mathematics, Rajshahi University, 6205, Rajshahi, Bangladesh
3 Department of Mathematics, Pabna University of Science and Technology, 6600, Pabna, Bangladesh
Accepted: 23 March 2021
Published online: 8 April 2021
In this script, the (2 + 1)-dimensional Benjamin–Bona–Mahony–Burgers (BBMB) model is considered and reduced to bilinear form by using the Hirota bilinear scheme. We analytically construct lump waves and collision of lump with periodic waves. We also present collision between lump wave and one-, two-stripe soliton solutions, and the collision among lump, periodic and one-, two-stripe soliton solutions of the BBMB model. In addition, we explain the fission properties of the lump and periodic waves, lump, periodic and one stripe, and lump, periodic and two-stripe solitons. Finally, we graphically present the nature of the collision solutions of the model in 3D and contour plots.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021