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Dynamical description and analytical study of traveling wave solutions for generalized Benjamin-Ono equation
Abaker A Hassaballa1,2, Muhammad Zafarullah Baber3, Aleesha Butt4
1Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, 73213, Saudi Arabia.
None:
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.
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