Abstract
The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.
Highlights
Optical solitons, which emerge from nonlinear evolution equations, have been studied for the past few decades
This section introduces the efficient improved Adomian decomposition method (ADM) to derive a numerical scheme for the CQ–Fokas–Lenells equation (FLE) given in Equation (1)
We analyze the CQ bright soliton of the perturbed FLE, which was recently derived by Elsayed et al [10] that is formulated as q( x, t) = Asec h[ B( x –vt)]ei(−kl x+ωl t+θ), (21)
Summary
Optical solitons, which emerge from nonlinear evolution equations, have been studied for the past few decades. The notion of cubic-quartic (CQ) solitons surfaced in the realm of nonlinear fiber optics for the first time in 2017, and an avalanche of results were eventually visible. Prior to this, it is the concept of pure-quartic solitons that was visible [1]. Several types of soliton solutions for this model were recovered None of these studies have explored the implications of perturbation terms that emerge as a result of natural factors in soliton transmission dynamics.
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