Exact traveling-wave solutions and dynamical behavior of nonlinear low-pass electrical models in the fractional framework
Zainab Alsheekhhussain, Rasool Shah, Hashmatullah Sanaee, Saleh Alshammari, Mohammad Alshammari, M Mossa Al-sawalha · 2026
Read Exact traveling-wave solutions and dynamical behavior of nonlinear low-pass electrical models in the fractional framework by Zainab Alsheekhhussain, Rasool Shah, Hashmatullah Sanaee, Saleh Alshammari, Mohammad Alshammari, M Mossa Al-sawalha (2026) in the Tower of Babel, a free online library of public-domain works preserved in clean, searchable text. No sign-up. The full text is served as a plain-text file at a predictable URL, where text is present: https://antarctic-labs.com/tower-of-babel/pmc-13328621.txt.
Description
Zainab Alsheekhhussain and co-authors solve a nonlinear electrical model with fractional math in a 2026 paper. Low-pass electrical circuits can carry wave-like signals. The team swaps the standard derivative for a Katugampola fractional one. A Riccati-Bernoulli method plus a transformation builds exact traveling wave solutions.
The solutions include bright and dark kink shapes, they report. Three-dimensional plots show how the wave reacts to order changes, while phase portraits reveal the flow's local and global layout. A Lyapunov exponent test finds regular, near periodic, and chaotic regimes in different settings. All computing runs in MATLAB with high resolution graphics.
Catalog record
| CREATOR | Zainab Alsheekhhussain, Rasool Shah, Hashmatullah Sanaee, Saleh Alshammari, Mohammad Alshammari, M Mossa Al-sawalha |
|---|---|
| YEAR | 2026 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 32 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |