https://doi.org/10.1140/epjp/s13360-020-00952-1
Review
On multi-geometric structures optical waves propagation in self-phase modulation medium: Sasa–Satsuma equation
1
Department of Basic Sciences, Faculty of Engineering, October 6 University, 6th of October City, Egypt
2
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt
* e-mail: mtantawymath@gmail.com
Received:
15
September
2020
Accepted:
18
November
2020
Published online:
22
November
2020
The Raman effect leads to that the medium undergoes a self-frequency shift which is due to self-phase modulation SPM. It is included in the Sasa–Satsuma equation SSE. A variety of works, on this equation, occupied a remarkable area of research in the literature. Here, we are concerned with investigating optical waves propagation OWP in a SPM medium by studying SSE. Exact solutions of the SSE are obtained by using the unified method (UM). The solutions obtained show the propagation of optical waves with different geometric structures. Novel chirped, conoidal, M-shaped and mixed M-shaped and periodic solitons are visualized. The principle thought in this work is to construct solutions to the waves that arise from soliton-periodic waves collisions, by introducing a new transformation.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
