New general extended direct algebraic approach for optical solitons of Biswas-Arshed equation through birefringent fibers

In this paper, the new general extended direct algebraic method is applied to achieve optical solitons of Biswas-Arshed equation with birefringent fiber involving two component vector soliton. Family of semi-bright soliton, dark singular soliton, singular soliton of Type 1 as well as 2, trigonometric, mixed hyperbolic and rational solitons are constructed and also verified by the aid of modern technical computing package program. The observed findings demonstrate that the approach is straightforward and easy, offers analytical results in generalized manner also these findings may help to address the challenges and predicaments that exist in the optical fibers and telecommunications sector. The solutions encountered with this model are completely latest to the academic literature. Some randomly chosen solutions are illustrated graphically for the physical interpretation. At the end, conclusions are announced.

Automated summary

This paper introduces a new general extended direct algebraic method for constructing optical soliton solutions involving birefringent fiber with two component vector soliton. The findings demonstrate the versatility and potential applications of this approach in addressing challenges in the optical fibers and telecommunications sector. The solutions presented in this model are latest to the academic literature and offer analytical results in a generalized manner.