Lambert W-Kink solitons arising from higher-order nonlinearities of lipid membranes

V.A. Mendoza-Millán, J.L. Larios-Ferrer, J. Samuel Millán, M.A. Agüero-Granados, D.M. Galván-Arellano and O. Pavón-Torres

Chaos, Solitons & Fractals, 2025, vol. 201, issue P2

Abstract: Accurate modelling of electromechanical wave propagation in lipid membranes requires accounting for higher-order nonlinearities, as incorporated in the extended Heimburg–Jackson model. By introducing third- and fourth-order polynomial terms into the membrane density equation, we derive a generalized Duffing-type equation that better captures the complex biophysical states involved in signal transmission. Applying the factorization method, we construct exact travelling wave solutions, including a novel class of Lambert W Kink-type solitons. These findings provide new analytical insight into the nonlinear electromechanical behaviour of nerve membranes and contribute to the theoretical foundation for understanding pulse propagation in biomembranes.

Keywords: Lipid membranes; Nerve impulses; Factorization method; Lambert W-Kink solitons (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p2:s0960077925012731

DOI: 10.1016/j.chaos.2025.117260

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