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Numerous Accurate and Stable Solitary Wave Solutions to the Generalized Modified Equal–Width Equation

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Abstract

The generalized modified Equal–Width (GMEW) equation is often used to show how a one-dimensional wave moves through a medium that is not linear and has dispersion processes. In this article, we’ll use two very precise, cutting-edge analytical and numerical methods to find the exact traveling wave solutions for the model we’re looking at. These discoveries are really new, and they could immediately change how people train in engineering and physics. Now that a numerical approach has been described, we can roughly evaluate the replies’ accuracy. Analytical and quantitative data were shown using contour plots and two- and three-dimensional graphs. Our method of symbolic computing shows that it has the potential to be a powerful mathematical tool. It can be used to solve a wide range of nonlinear wave problems. Our findings are the outcome of our topic investigation.

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Data Availability

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The researchers would like to a knowledge Deanship of Scientific Research, Taif university for funding this work.

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Authors and Affiliations

  1. School of Medical Informatics Engineering, Xuzhou Medical University, 209 Tongshan Road, 221004, Xuzhou, Jiangsu Province, People’s Republic of China

    Mostafa M. A. Khater

  2. Department of Basic Science, Obour High Institute for Engineering Technology, 11828, Cairo, Egypt

    Mostafa M. A. Khater

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Khater, M.M.A. Numerous Accurate and Stable Solitary Wave Solutions to the Generalized Modified Equal–Width Equation. Int J Theor Phys 62, 151 (2023). https://doi.org/10.1007/s10773-023-05362-4

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