Multi-soliton solutions and soliton molecules of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation for the incompressible fluid

Abstract

The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) is explored in this letter. The multi-soliton solutions (MSSs) are probed via the Hirota bilinear form that is extracted by taking advantage of the Cole-Hopf transform. The soliton molecules (SMs) on the different planes such as the (x,y)-,(x,t)- and (y,t)- planes are investigated via assigning the velocity resonance mechanisms to the MSSs. The dynamic characteristics of the results are also unveiled graphically to show the corresponding physical behaviors.