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Retrieving the Dynamics of Soliton Solutions With Stability Analysis to the q-Deformed Tanh-Gordon Model

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  • Asghar Ali
  • Sara Javed
  • Taseer Muhammad

Abstract

The soliton solutions and their linear stability in the q-deformed tanh-Gordon model are studied in this study using the framework of quantum calculus. This formulation is more practical for the numerical simulation of physical systems with broken symmetries and is generalized to (3 + 1)-dimensional q-deformed. This model provides an understanding of the system. By using the enhanced modified Sardar-subequation technique EMSET, analytical solutions are obtained regarding the values of specific parameters of the deformed model q to describe the dynamics of the system. These solutions may provide better insights into the mathematical form and properties of the model. Hence, to affirm the results, a stability analysis was used, which confirms the reliability of acquired solutions. Furthermore, graphical representations have been attached to increase the understanding and further improve the interpretation of the obtained results.

Suggested Citation

  • Asghar Ali & Sara Javed & Taseer Muhammad, 2025. "Retrieving the Dynamics of Soliton Solutions With Stability Analysis to the q-Deformed Tanh-Gordon Model," Journal of Mathematics, Hindawi, vol. 2025, pages 1-17, October.
    • Handle: RePEc:hin:jjmath:5522499
    DOI: 10.1155/jom/5522499
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