Stationary solitons with NLSE in magneto-optic waveguides with Kudryashov’s law and dual form of generalized nonlocal law nonlinearity

Document Type : Original Article

Authors

1 Mathematical Department, Faculty of science , Zagazig University, Elsharquya, Egypt.

2 Mathematical Department, Faculty of Science, zagazig University, Egypt.

3 Department of Engineering Mathematics and Physics, Higher Institute of Engineering, El Shorouk, Egypt.

Abstract

Revisiting the study of stationary solitons with magneto-optic waveguides for NLSE with Kudryashov’s law and dual form of generalized nonlocal law nonlinearity having nonlinear chromatic dispersion and generalized linear temporal evolution is the focus of the current paper. The soliton solutions to the model are revealed through the intermediary Jacobi’s elliptic functions using the enhanced direct algebraic method. The intermediary Weierstrass elliptic functions are used to reveal such quiescent soliton solutions. The theory of optical solitons is a cutting-edge field of study in the nonlinear optics and telecommunications industries. It is well known that quiescent solitons with anomalous dispersion present a difficulty when solving the nonlinear Schrödinger equation. It seems that the first works in this direction [1-3]. Numerous studies have also been conducted on quiescent solitary disturbances in the description of nonlinear optics processes (see, e.g., papers [4--15]).Optical solitons have produced a great deal of documented results, particularly in the last few decades, leaving a lasting impression. Optical solitons are a treasure in the domains of mathematical physics and telecommunications engineering. This context has a wide variety of nonlinear refractive index structures, which adds interest to the field of study.

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