Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme

Oswaldo González-Gaxiola; Anjan Biswas; Luminita Moraru; Abdulah A. Alghamdi

doi:10.3390/math11051080

Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme

Oswaldo González-Gaxiola, Anjan Biswas, Luminita Moraru^*, Abdulah A. Alghamdi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	1080
Journal	Mathematics
Volume	11
Issue number	5
DOIs	https://doi.org/10.3390/math11051080
Publication status	Published - Mar 2023
Externally published	Yes

Keywords

Adomian-Laplace decomposition scheme
generalized Boussinesq equation
mathematical biology
neuroscience
solitons

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10.3390/math11051080

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title = "Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme",

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 = "Adomian-Laplace decomposition scheme, generalized Boussinesq equation, mathematical biology, neuroscience, solitons",

author = "Oswaldo Gonz{\'a}lez-Gaxiola and Anjan Biswas and Luminita Moraru and Alghamdi, {Abdulah A.}",

note = "Funding Information: This work was supported by the project “DINAMIC”, Contract no. 12PFE/2021.162. The authors are extremely thankful for it. Publisher Copyright: {\textcopyright} 2023 by the authors.",

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AU - González-Gaxiola, Oswaldo

AU - Biswas, Anjan

AU - Moraru, Luminita

AU - Alghamdi, Abdulah A.

PY - 2023/3

Y1 - 2023/3

N2 - 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.

AB - 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.

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Solitons in Neurosciences by the Laplace–Adomian Decomposition Scheme

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Keywords

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