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Dynamics of nonlinear diverse wave propagation to Improved Boussinesq model in weakly dispersive medium of shallow waters or ion acoustic waves using efficient technique

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Abstract

In this study, we will extract new impressive visions for the exact traveling wave solutions to the Improved Boussinesq dynamical model of water wave problems in a weakly dispersive medium of shallow water or ion acoustic waves under the damping constant of internal friction. In this study, the new extended direct algebraic method has been used to generate some new and more universal exact traveling wave solutions. The recovered solutions are divided into single (kink, anti-kink, singular), bright, dark, complex, and combo forms. During the derivation, new families of hyperbolic, exponential, and periodic wave solutions with arbitrary parameters also emerged. The achieved outcomes are examined using three-dimensional plotline, contour plot, and two-dimensional plotline for definite parametric values. Additionally, the results have been compared with other existing results in the literature to show their uniqueness. Moreover, the findings show that the method taken is successful, simple, and can be use even to complicated phenomena, and this work will also be helpful to a large number of engineering model specialists and in many other areas of physics.

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The datasets used and/or analyzed during the current study available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 52071298), the Strategic Research and Consulting Project of Chinese Academy of Engineering (No. 2022HENYB05), the ZhongYuan Science and Technology Innovation Leadership Program (No. 214200510010). The researchers would like to acknowledge Deanship of Scientific Research, Taif University for funding this work.

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Authors and Affiliations

  1. Henan Academy of Big Data/School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, 450001, China

    Muhammad Bilal & Jingli Ren

  2. Department of Physics, College of Khurma University College, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    A. S. A. Alsubaie & K. H. Mahmoud

  3. Department of Mathematics, Firat University, 23119, Elazig, Turkey

    Mustafa Inc

  4. Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey

    Mustafa Inc

  5. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Mustafa Inc

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  1. Muhammad Bilal
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  3. A. S. A. Alsubaie
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  4. K. H. Mahmoud
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Contributions

MB: Conceptualization, methodology, software, writing-original draft, formal analysis. JR, ASAA: Investigation, visualization, acquisition, supervision, Validation. KHM, MI: Resources, acquisition, data curation, supervision, review and editing.

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Bilal, M., Ren, J., Alsubaie, A.S.A. et al. Dynamics of nonlinear diverse wave propagation to Improved Boussinesq model in weakly dispersive medium of shallow waters or ion acoustic waves using efficient technique. Opt Quant Electron 56, 21 (2024). https://doi.org/10.1007/s11082-023-05587-x

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