Bifurcation analysis and analytical traveling wave solutions of a sasa-satsuma equation involving beta, M-truncated and conformable derivatives using the EGREM method
Farwa Munir, Khaled M Saad, Muhammad Abbas, Asnake Birhanu, Waleed M Hamanah, Tahir Nazir · 2025
Read Bifurcation analysis and analytical traveling wave solutions of a sasa-satsuma equation involving beta, M-truncated and conformable derivatives using the EGREM method by Farwa Munir, Khaled M Saad, Muhammad Abbas, Asnake Birhanu, Waleed M Hamanah, Tahir Nazir (2025) 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-12738636.txt.
Description
Farwa Munir and five co-authors solved a fractional wave equation in a 2025 paper. The Sasa-Satsuma equation models pulses in optical fibers and plasmas. The team worked with three kinds of fractional derivative, beta, M-truncated, and conformable, each giving the medium a different kind of memory. A mapping method built on the Riccati equation produced exact traveling wave solutions.
The solution set spans bright and dark solitons, kinks and anti-kinks, and periodic waves. A follow-up analysis then mapped how the system splits into new regimes, drifts into chaos, and answers parameter changes. Each fractional operator left its own mark on pulse spread, pulse shape, and coupling strength. The authors aim the results at fiber optics, plasma physics, and signal design.
Catalog record
| CREATOR | Farwa Munir, Khaled M Saad, Muhammad Abbas, Asnake Birhanu, Waleed M Hamanah, Tahir Nazir |
|---|---|
| YEAR | 2025 |
| COLLECTION | PAPERS |
| FORMAT | TXT |
| FILE SIZE | 34 KB |
| VERSION | 1.0 |
| LICENSE | CC BY 4.0 |
| RIGHTS | CC BY |
| SOURCE | Europe PMC |