https://doi.org/10.1140/epjp/s13360-020-00640-0
Regular Article
Controllable rational solutions in nonlinear optics fibers
1
Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon
2
Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaoundé, Cameroon
3
National Advanced School of Engineering, University of Yaounde I, Yaoundé, Cameroon
4
Department of Physics, Faculty of Science, The University of Maroua, P.O. Box 814, Maroua, Cameroon
5
Department of Mathematics, Science Faculty, Firat University, 23119, Elazig, Turkey
6
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
7
Department of Physics, Faculty of Science, The University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
8
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia
Received:
21
March
2020
Accepted:
27
July
2020
Published online:
7
August
2020
Based on Darboux matrix method, a generalized Darboux transformation of a generalized nonlinear Schrödinger equation possessing higher-order terms which refer to a femto second pulse propagation in a nonlinear fiber optic is constructed. This nonlinear Schrödinger equation can model the propagation of soliton in a Heisenberg spin chain. Using the above-generalized Darboux transformation, we calculate the first, two and third-order rogue wave solutions and give general formulae for generating Nth-order ones. We discuss the effect of higher-order terms contained in the above equation.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
