https://doi.org/10.1140/epjp/s13360-020-00142-z
Regular Article
Chirped soliton solutions of Fokas–Lenells equation with perturbation terms and the effect of spatio-temporal dispersion in the modulational instability analysis
1
Department of Physics, Faculty of Science, University of Maroua, P.O. Box 814, Maroua, Cameroon
2
Higher Teachers’ Training College of Maroua, University of Maroua, P.O. Box 55, Maroua, Cameroon
3
Faculty of Science, Taibah University, Medina, Saudi Arabia
4
Department of Physics, Faculty of Science, University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
* e-mail: malwehubert@yahoo.fr
Received:
12
September
2019
Accepted:
25
November
2019
Published online:
3
February
2020
In the present work, exact chirped solitons are derived from the Fokas–Lenells equation with the perturbation terms which describes the ultrashort pulse in the optical fiber. The obtained chirps could help for either pulse compression or amplification in optical fiber. We also analyzed the effect of spatio-temporal dispersion in the modulational instability. As result, the modulational instability analysis shows that the gain is increasing when the spatio-temporal dispersion coefficient decreases; besides, the region of MI gain apparition is well determined.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
