Mathematical methods for construction new soliton solutions of Radhakrishnan-Kundu Lakshmanan equation

In this paper, the modified simple equation method and the extended simplest equation method are applied to secure optical solitons and other solutions for Radhakrishnan-Kundu Lakshmanan equation. Bright solitons, dark solitons and singular solitons are obtained. Also, periodic solutions, singular periodic solutions, rational-type solutions and hyperbolic solutions are reported. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

In this paper, the modified simple equation method and the extended simplest equation method are used to investigate the secure optical solitons and other solutions of the Radhakrishnan-Kundu Lakshmanan equation. Various types of solitons and solutions are obtained and presented graphically.