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Construction of the Optical Soliton Solutions for Fokas–Lenells Equation by Unified Solver Method

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Abstract

Nonlinear Schrödinger’s equation (NLSE) and its variant forms assume noteworthy applications in soliton theory. The Fokas–Lenells equation (FLE) is an integrable generalization of NLSE that describes the nonlinear pulse propagation in optical fiber. This paper aims to find optical soliton solutions for the FLE using a unified solver method in form of dark, periodic, singular and rational solutions. Additionally, the paper includes 3D and 2D graphs for selected solutions, which illustrate the specific dynamical and physical behavior of the solutions. This approach possesses the ability to uncover the entire wave configuration found in nonlinear partial differential equations within the realms of natural and physical sciences.

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  1. Department of Mathematics, University of Okara, Okara, Pakistan

    Ayesha Mahmood & Hamood Ur Rehman

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  1. Ayesha Mahmood
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Correspondence to Hamood Ur Rehman.

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Mahmood, A., Rehman, H.U. Construction of the Optical Soliton Solutions for Fokas–Lenells Equation by Unified Solver Method. Int. J. Appl. Comput. Math 9, 94 (2023). https://doi.org/10.1007/s40819-023-01575-7

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