Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn
Muhammad Shakeel,
Naseem Abbas,
Muhammad Junaid U. Rehman
et al.
Abstract:The investigation presented in this study delves into the analysis of Lie symmetries for the bistable Allen-Cahn (BAC) equation with a quartic potential, specifically applied to the biofilm model. By employing the Lie symmetry method, we have acquired the Lie infinitesimal generators for the considered model. Using a transformation method, the nonlinear partial differential equations (NPDEs) are converted into various nonlinear ordinary differential equations (NLODEs), providing the numerous closed-form solita… Show more
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