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 journalArticlepeer-review

3 Citations (Scopus)


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 languageEnglish
Article number1080
Issue number5
Publication statusPublished - Mar 2023
Externally publishedYes


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


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