Year: 2025
Type: article
Abstract: In present work, comb-like model (toy model has proven valuable to explain and quantify the transport along spin dendrites like for instance nerve cell conduction) as a fractal background medium has been used to derive the well-known nonlinear fractional KdV equation where time evolution operator admits half-order (α=1/2). We investigate the effect of the presence of infinite fingers of our suggest model to the propagation of soliton solution along back bone of structure by employing the travelling wave transform method in order to obtain the corresponding soliton solution. The time fractional operator causes a remarkable change on the soliton profile in both width and amplitude. The main results of this study show the sensitive dependence of soliton profile (width and amplitude) on the fractional exponent of time evolution operator. This means that fractal geometry like spines dendrites structure enhanced the propagation of soliton profile along the backbone of the structure due to the increasing of the amplitude and decreasing its width. In addition to there are no effect on the form of soliton with variation of time fractional operator. Finally, we can say that, Comb-like model provide a good geometrical explanation of anomalous transport.
Authors: Abeer A mahmoud, Mohsen A Zahrann
Institution: Mansoura University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4410936978