Soliton dynamics for generalized Chafee-Infante equation with power-law nonlinearity

For systems modeled by the generalized Chafee-Infante equation with arbitrary nonlinear power index in (1+1)-dimensional and (2+ 1)-dimensional scenarios, we investigate the soliton dynamics utilizing the modified F-expansion method and novel ansatz of F-base function. We derived the bright soliton solution and kink soliton solution supported by the generalized Chafee-Infante equation system in both (1 + 1)- and (2 + 1)-dimensional cases. We gave graphical illustrations of the derived soliton solutions in one and two dimensions and analyzed the stability of the bright soliton and kink soliton solutions in twodimensional format. The theoretical results presented in this work can be used to guide the experimental observation of solitons in systems modeled by the generalized Chafee-Infante equation.