The sensitivity demonstration and propagation of hyper-geometric soliton waves in plasma physics of Kairat-II equation
Faridi W.A. Tipu G.H. Myrzakulova Z. Myrzakulov R. AlQahtani S.A. Pathak P.
1 April 2024Institute of Physics
Physica Scripta
2024#99Issue 4
This study investigates the Kairat-II equation, describing optical pulse behavior in optical fibers and plasma. To uncover new solitary wave profiles, the study employs an extended direct algebraic method. This kind of solution has never been reached in research prior to this study. This innovative approach efficiently encompasses a comprehensive set of thirty-seven solitonic wave profiles, spanning various soliton families. The investigation unveils novel solitonic wave patterns, including plane solutions, hyper-geometric solutions, mixed hyperbolic solutions, periodic and mixed periodic solutions, mixed trigonometric solutions, trigonometric solutions, shock solutions, mixed shock singular solutions, mixed singular solutions, complex solitary shock solutions, singular solutions, and shock wave solutions. To demonstrate the pulse propagation characteristics, the research presents 2-D, 3-D, and contour graphics based on parameter values, aiding in a better understanding of the phenomenon.
sensitive analysis , the Kairat-II equation , the new extended direct algebraic method , traveling wave solutions
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Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Computer Engineering Department, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia
School of Continuing Studies, McGill University, Quebec, Canada
Department of Mathematics
Department of Mathematics and Statistics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Computer Engineering Department
School of Continuing Studies
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