Dynamics of Mixed Lump-Soliton Solutions According to a (2+1)-Dimensional Coupled Nonlinear Partial Differential Like Equation

Based on the generalized bilinear operators in a prime number p = 3, we introduce a (2+1)-dimensional coupled nonlinear partial differential like equation. By combining an exponential function with a quadratic function, an interaction between a lump wave and a one-kink soliton is generated. In addition, an interaction between a lump wave and a two-kink soliton, which is called a special rogue wave, can be obtained by adding two additional exponential functions. The dynamic properties of these interactions are depicted by selecting appropriate parameters.