Soliton interaction solutions of a (2+1)-dimensional nonlocal model analogous to the KdV equation

In this paper, some new lump solutions are obtained for the (2+1)-dimensional nonlocal analogues to the KdV Equation derived from an ideal fluid model. We used the Hirota bilinear method to transform the considered model into its bilinear form. Using a new proposed form of the lump solutions for the transformed function, we obtained circular lump, aligned elliptic lump, tilted elliptic lump, and lump-soliton solutions for the considered model. The constraints of the existence of the obtained solutions are provided and the propagation of the obtained solutions is illustrated using some graphs.