Constructing the soliton wave structure to the nonlinear fractional Kairat-X dynamical equation under computational approach
Iqbal M. Lu D. Seadawy A.R. Alomari F.A.H. Umurzakhova Z. Myrzakulov R.
2024World Scientific
Modern Physics Letters B
2024
In this paper, the nonlinear fractional Kairat-X equation is investigated on the basis of computational simulation. The nonlinear fractional Kairat-X equation is an integrable equation and is used to explain the differential geometry of curves and equivalence aspects. Several kinds of solitary wave structures of the nonlinear fractional Kairat-X equation are established successfully via the implantation of the extended simple equation method. Here, we explore the interesting, novel and general solutions in trigonometric, exponential, and rational types, which represent periodic wave solitons, mixed solitons in the shape of bright-dark solutions, kink wave solitons, peakon bright and dark solitons, anti-kink wave solutions, bright solitons, dark solitons, and solitary wave structure. The physical structures of secured results, aided by numerical simulation, have numerous applications in applied sciences such as optical fiber, geophysics, laser optics, mathematical physics, nonlinear optics, nonlinear dynamics, communication system, and engineering. This study explores the physical behavior of models through the visualization of solutions in contour, 2D and 3D plots by revealing that these solutions yield profitable results in the field of mathematical physics. The study demonstrates that the proposed technique is more reliable, efficient, and powerful in analyzing nonlinear evolution equations in various domains of science.
computational simulations , exact solitons , Fractional Kairat-X equation , solitary wave structure , the extended simple equation method
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School of Mathematical Sciences, Jiangsu University, Jiangsu, Zhenjiang, 212013, China
Mathematics Department, Faculty of Science, Taibah University, Al-Munawarah, Al-Madinah, Saudi Arabia
Department of Mathematics, College of Science and Arts, Al-Baha University, Al-Makhwah, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
School of Mathematical Sciences
Mathematics Department
Department of Mathematics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
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