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Computational Traveling Wave Solutions of the Nonlinear Rangwala–Rao Model Arising in Electric Field

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  • Mostafa M. A. Khater

    (School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, Xuzhou 221004, China
    Department of Basic Science, Obour High Institute for Engineering and Technology, Cairo 11828, Egypt
    This author did all this work.)

Abstract

The direct influence of the integrability requirement on mixed derivative nonlinear Schrödinger equations is investigated in this paper. A. Rangwala mathematically formalized these effects in 1990 and dubbed this form the Rangwala–Rao ( R R ) equation. Our research focuses on innovative soliton wave solutions and their interactions in order to provide a clear picture of the slowly evolving envelope of the electric field and pulse propagation in optical fibers in terms of the dispersion effect. For creating unique solitary wave solutions to the investigated model, three contemporary computational strategies (extended direct (ExD) method, improved F–expansion (ImFE) method, and modified Kudryashov (MKud) method) are employed. These solutions are numerically computed to demonstrate the dynamical behavior of optical fiber pulse propagation. The originality of the paper’s findings is proved by comparing our results to previously published results.

Suggested Citation

  • Mostafa M. A. Khater, 2022. "Computational Traveling Wave Solutions of the Nonlinear Rangwala–Rao Model Arising in Electric Field," Mathematics, MDPI, vol. 10(24), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4658-:d:997831
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