Lie symmetry analysis and solitary wave solution of biofilm model Allen-Cahn

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 th...

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Bibliographic Details
Main Authors: Muhammad Shakeel, Naseem Abbas, Muhammad Junaid U. Rehman, Fehaid Salem Alshammari, Abdullah Al-Yaari
Format: Article
Language:English
Published: Nature Portfolio 2024-06-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-024-62315-5
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