Construction of optical solitons of Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers

• Published in: Nonlinear engineering Vol. 11; no. 1; pp. 80 - 91
• Main Authors: Ullah, Naeem, Asjad, Muhammad Imran, Ur Rehman, Hamood, Akgül, Ali
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 24.03.2022; Walter de Gruyter GmbH
• Subjects: extended hyperbolic function method; Hyperbolic functions; optical solitons; Radhakrishnan–Kundu–Lakshmanan equation; Sardar-subequation method; Solitary waves
• ISSN: 2192-8029; 2192-8010; 2192-8029
• DOI: 10.1515/nleng-2022-0010

In this article, we are attracted to discover the multiple-optical soiltons in birefringent fibers for Radhakrishnan–Kundu–Lakshmanan equation (RKLE) by applying the Sardar-subequation method (SSM) and the new extended hyperbolic function method (EHFM). We construct the solutions in the form of exponential, trigonometric, and hyperbolic functions solitons solutions like mixed complex solitons and multiple-optical solitons solutions. In addition, singular periodic wave solutions are constructed, and the restraint conditions for the presence of soliton solutions are also defined. Moreover, the physical interpretation of the obtained solutions is disclosed in forms of 3D and 2D plots for different suitable parameters. The attained results indicate that the implemented computational scheme is straight, proficient, and brief and can be applied in more complex phenomena with the associate of representative computations. We have obtained several sorts of new solutions.