https://doi.org/10.1140/epjd/s10053-023-00756-9
Regular Article - Nonlinear Dynamics
Soliton dynamics for generalized Chafee–Infante equation with power-law nonlinearity
School of Science, Jiangsu University of Science and Technology, 212100, Zhenjiang, China
Received:
4
May
2023
Accepted:
11
September
2023
Published online:
10
October
2023
For systems modeled by the generalized Chafee–Infante equation with arbitrary nonlinear power index in 
-dimensional and 
-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 - and -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 two-dimensional 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.
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