Novel solitonic structure, Hamiltonian dynamics and lie symmetry algebra of biofilm

In this study, the Lie point symmetries and optimal system have been established. We discuss the biofilm model’s soliton solutions. To examine a nonlinear dynamical biofilm system, which is simply a bistable Allen–Cahn equation with quartic potential, to determine solitary wave profiles using the co...

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Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	Umair Asghar, Muhammad Imran Asjad, Waqas Ali Faridi, Ali Akgül
Format:	Article
Language:	English
Published:	Elsevier 2024-03-01
Subjects:	Lie symmetry analysis Optimal system Allen–Cahn equation Soliton solutions New auxiliary equation method Hamiltonian function
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818124000391