Abstract
This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger equation through the modified Khater method. This method is considered one of the most recent accurate analytical schemes in nonlinear evolution equations where it obtained many distinct forms of solutions of the considered model. The investigated model in this paper is an icon in quantum fields where it describes the wave function or state function of a quantum-mechanical system. The physical characterization of some obtained solutions in our study is explained through sketching them in two- and three-dimensional contour plots. The novelty of our study is clear by showing the matching between our solutions and those that have been constructed in previously published papers.
Highlights
nonlinear evolution equations (NLEEs) are elaborate in record of the complex phenomena of nature, which show a dominant role in the new age of modern science and technology
During the past few decades, several investigators have presented a monumental number of methods for solving the nonlinear evolution models, such as the sine–Gordon expansion method, the homogeneous balance method, the Exp-function method, the enhanced
Numerous properties of Nonlinear Schrödinger equations (NLSEs) are investigated in the form of optical solitons
Summary
Nonlinear evolution equations (NLEEs) are some of the most fascinating areas of research. NLEEs are elaborate in record of the complex phenomena of nature, which show a dominant role in the new age of modern science and technology. Such equations have been integrated through important computational tools such as Matlab, Wolfram Mathematica, and. NLEEs are elaborate in record of the complex phenomena of nature, which show a dominant role in the new age of modern science and technology.. NLEEs are elaborate in record of the complex phenomena of nature, which show a dominant role in the new age of modern science and technology.2–4 Such equations have been integrated through important computational tools such as Matlab, Wolfram Mathematica, and. Numerous properties of NLSEs are investigated in the form of optical solitons. In engineering and mathematical physics, the most interesting and active part of investigation is optical fiber. The Khater method is utilized to acquire the soliton solutions for the perturbed nonlinear Schrödinger equation, which can be given as iνt + λνxx + δ∣ν∣2ν − i(ηνt − ζ(∣ν∣2ν)ν − σ(∣ν∣2)xν) = 0, (1).
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