Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme

Oswaldo González-Gaxiola, Anjan Biswas, Luminita Moraru () and Abdulah A. Alghamdi
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Oswaldo González-Gaxiola: Applied Mathematics and Systems Department, Universidad Autonoma Metropolitana-Cuajimalpa, Vasco de Quiroga 4871, Mexico City 05348, Mexico
Anjan Biswas: Department of Mathematics and Physics, Grambling State University, Grambling, LA 71245, USA
Luminita Moraru: Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania
Abdulah A. Alghamdi: Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 5, 1-13

Abstract: The paper concentrates on the solitary waves that are retrievable from the generalized Boussinesq equation. The numerical simulations are displayed in the paper that gives a visual perspective to the model studied in neurosciences. The Laplace–Adomian decomposition scheme makes this visualization of the solitons possible. The numerical simulations are being reported for the first time using an elegant approach. The results would be helpful for neuroscientists and clinical studies in Medicine. The novelty lies in the modeling that is successfully conducted with an impressively small error measure. In the past, the model was integrated analytically only to recover soliton solutions and its conserved quantities.

Keywords: mathematical biology; generalized Boussinesq equation; solitons; neuroscience; Adomian-Laplace decomposition scheme (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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