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<p>The current manuscript deals with the analytical study of the generalized Benjamin-Ono (BO) equation. The underlying model has numerous applications in scientific fields like wave propagation effect and study of the plasma dynamics and complicated modeling of physical systems. The Jacobi elliptic function (JEF) expansion method is employed for employed for the solitary wave and soliton solutions for the underlying model. This technique provides dark, bright and dark periodic solitary wave solutions. Different solutions are chosen to draw their physical behavior. 2D, 3D and their corresponding contours are drawn and their physical behavior is explained in the context of real-life application. The stability analysis, chaotic behavior, sensitivity and bifurcation analysis is derived to analyze its various dynamics and simulations are plotted for various choices of the parameters. These results will create an impact in the existing literature.</p>

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Dynamical description and analytical study of traveling wave solutions for generalized Benjamin-Ono equation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月30日

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  • Abaker A. Hassaballa,
  • Muhammad Zafarullah Baber,
  • Aleesha Butt,
  • Muhammad Waqas Yasin,
  • Rana Safdar,
  • Ebrima Bittaye

摘要

The current manuscript deals with the analytical study of the generalized Benjamin-Ono (BO) equation. The underlying model has numerous applications in scientific fields like wave propagation effect and study of the plasma dynamics and complicated modeling of physical systems. The Jacobi elliptic function (JEF) expansion method is employed for employed for the solitary wave and soliton solutions for the underlying model. This technique provides dark, bright and dark periodic solitary wave solutions. Different solutions are chosen to draw their physical behavior. 2D, 3D and their corresponding contours are drawn and their physical behavior is explained in the context of real-life application. The stability analysis, chaotic behavior, sensitivity and bifurcation analysis is derived to analyze its various dynamics and simulations are plotted for various choices of the parameters. These results will create an impact in the existing literature.