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<p>The space-time fractional Sharma-Tasso-Olver (STO) equation, which characterizes the propagation process of irregular dispersive waves in inhomogeneous media, is taken into consideration in the current article. We use the improved generalized Riccati equation mapping approach to obtain some solitary wave solutions for this equation in the form of trigonometric and rational functions. This work finds several novel traveling wave solutions for the proposed problem in various forms. We also use the theory of the phase portrait to examine the stability of the equilibrium points and to show the existence of certain types of traveling wave solution. We utilize an external force to analyze the chaotic and quasi-periodic behavior of the obtained dynamical system. Some two- and three-dimensional graphs are presented in this paper to show the behavior of the solutions. The employed technique can be utilized for solving other non-linear fractional models.</p>

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Bifurcation analysis, phase portrait, and certain types of solutions to the space-time fractional Sharma-Tasso-Olver equation using reliable methods

  • 期刊论文

  • 发表日期：

    2025年6月24日

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  • M. B. Almatrafi,
  • Marwa M. Alzubaidi,
  • Messaoud Berkal

摘要

The space-time fractional Sharma-Tasso-Olver (STO) equation, which characterizes the propagation process of irregular dispersive waves in inhomogeneous media, is taken into consideration in the current article. We use the improved generalized Riccati equation mapping approach to obtain some solitary wave solutions for this equation in the form of trigonometric and rational functions. This work finds several novel traveling wave solutions for the proposed problem in various forms. We also use the theory of the phase portrait to examine the stability of the equilibrium points and to show the existence of certain types of traveling wave solution. We utilize an external force to analyze the chaotic and quasi-periodic behavior of the obtained dynamical system. Some two- and three-dimensional graphs are presented in this paper to show the behavior of the solutions. The employed technique can be utilized for solving other non-linear fractional models.