Abstract
This paper studies the propagation of the short pulse optics model governed by the higher-order nonlinear Schrödinger equation (NLSE) with non-Kerr nonlinearity. Exact one-soliton solutions are derived for a generalized case of the NLSE with the aid of software symbolic computations. The modified Kudryashov simple equation method (MSEM) is employed for this purpose under some parametric constraints. The computational work shows the difference, effectiveness, reliability, and power of the considered scheme. This method can treat several complex higher-order NLSEs that arise in mathematical physics. Graphical illustrations of some obtained solitons are presented.
Highlights
IntroductionThe nonlinear Schrödinger-type equations (NLSEs) are essential to describe the optical soliton propagation in a variety of branches of fiber communication sciences, e.g., nonlinear optics [1,2]
Non-Kerr nonlinear Schrödinger equation (NLSE) via the ModifiedThe nonlinear Schrödinger-type equations (NLSEs) are essential to describe the optical soliton propagation in a variety of branches of fiber communication sciences, e.g., nonlinear optics [1,2]
The modified simple equation algorithm was successfully examined to the higherorder nonlinear Schrodinger partial differential equation with non-Kerr nonlinearity subject to constraint relations among the parameters
Summary
The nonlinear Schrödinger-type equations (NLSEs) are essential to describe the optical soliton propagation in a variety of branches of fiber communication sciences, e.g., nonlinear optics [1,2]. These models have successfully addressed the ultrashort pulses of the wave dynamics, which will increase the power of high-bit-rate transmission systems [3,4]. There has been significant progress in the development of diverse schemes for treating NLSEs and nonlinear partial differential equations (NPDEs) in the general case. While constructing an exact analytic solution is of more importance since this can provide the best understanding of the model’s nature to be processed in an efficient way, researchers have developed various powerful tools to analyze NPDEs
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