Solitons in Neurosciences by the Laplace-Adomian Decomposition Scheme

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.

Automated summary

The paper focuses on the retrieval of solitary waves from the generalized Boussinesq equation. It presents numerical simulations that offer a visual perspective on the model used in neurosciences. The use of the Laplace-Adomian decomposition scheme enables the visualization of solitons. The results of the numerical simulations, obtained through an elegant approach, provide valuable insights for neuroscientists and clinical studies in Medicine. The novelty lies in the successful modeling with an impressively small error measure.