New diverse types of soliton solutions to the Radhakrishnan-Kundu-Lakshmanan equation

Abstract

The main purpose of this study was to produce abundant new types of soliton solutions for the Radhakrishnan-Kundu-Lakshmanan equation that represents unstable optical solitons that emerge from optical propagations through the use of birefringent fibers. These new types of soliton solutions have behaviors that are bright, dark, W-shaped, M-shaped, periodic trigonometric, and hyperbolic and were not realized before by any other method. These new forms have been detected by using four different techniques, which are, the extended simple equation method, the Paul-Painlevé approach method, the Ricatti-Bernoulli-sub ODE, and the solitary wave ansatz method. These new solitons will be arranged to create a soliton catalog with new impressive behaviors and they will contribute to future studies not only for this model but also for the optical propagations through birefringent fiber.

Keywords

• radhakrishnan-kundu-lakshmanan equation
• extended simple equation method
• paul-painlevé approach method
• ricatti-bernoulli-sub ode
• solitary wave ansatz method
• optical solitons