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

Abstract

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 which 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. The dynamic characteristics of the results are unveiled graphically to show the corresponding physical behaviors.