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Theoretical examination of solitary waves for Sharma–Tasso–Olver Burger equation by stability and sensitivity analysis

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Abstract

The Sharma–Tasso–Olver–Burgers (STOB) equation is a nonlinear partial differential equation that appears in many branches of science, engineering and describes significant phenomena including wave propagation and fluid dynamics. The STOB equation characteristics and solutions for the nonlinear situation are thoroughly examined in this research work. The analytical techniques, namely the extended \((\frac{G'}{G^{2}})\)-expansion method, stability analysis, and sensitivity analysis, are used to determine the solitons solution of STOB equation. The study begins with an overview of the equation, highlighting its significance in modeling. The nonlinear nature of the equation leads to interesting dynamics and challenges in its analysis and solution. The research paper focuses on understanding the behavior of solutions and identifying the solution with the help of graphical interpretation. Numerous of the identified solutions are depicted in figures to provide a physical comprehension. Because it is critical, we use appropriate values of parameters to highlight the physical aspects of the supplied data using 3D, 2D, and contour charts. The proposed techniques are valuable and contribute to the field of nonlinear sciences. Various nonlinear evolutionary equations are employed to represent models of nonlinear physical phenomena

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

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Acknowledgements

“The authors extend their appreciation to King Saud University for funding this work through Researchers Supporting Project Number (RSPD2024R711), King Saud University, Riyadh, Saudi Arabia.”

Funding

“This research was funded by King Saud University through Researchers Supporting Project number (RSPD2024R711)”

Author information

Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Ejaz Hussain

  2. Center for High Energy Physics, University of the Punjab, Quaid-e-Azam Campus, Lahore, 54590, Pakistan

    Abdul Mutlib & Nida Raees

  3. College of Computer Science, Chengdu University, Chengdu, 610106, People’s Republic of China

    Zhao Li

  4. Department of Industrial Engineering, College of Engineering, King Saud University, P.O. Box 800, 11421, Riyadh, Saudi Arabia

    Adham E.Ragab

  5. Department of Mathematics and Statistics, The University of Lahore, 1-km Defence Road, Lahore, 54000, Pakistan

    Syed Asif Ai Shah

  6. Department of Mathematics, Mutah University, Mu’tah, Al Karak, Jordan

    Emad A. Az-Zo’bi

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  1. Ejaz Hussain
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  2. Abdul Mutlib
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  3. Zhao Li
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  5. Syed Asif Ai Shah
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  6. Emad A. Az-Zo’bi
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All authors contributed equally in preparation, drafting, editing and reviewing the manuscript.

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Correspondence to Syed Asif Ai Shah.

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Hussain, E., Mutlib, A., Li, Z. et al. Theoretical examination of solitary waves for Sharma–Tasso–Olver Burger equation by stability and sensitivity analysis. Z. Angew. Math. Phys. 75, 96 (2024). https://doi.org/10.1007/s00033-024-02225-8

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