The formation of solitary wave solutions and their propagation for Kuralay equation
Faridi W.A. Bakar M.A. Myrzakulova Z. Myrzakulov R. Akgül A. El Din S.M.
September 2023Elsevier B.V.
Results in Physics
2023#52
In this paper, the main motive is to mathematical explore the Kuralay equation, which find applications in various fields such as ferromagnetic materials, nonlinear optics, and optical fibers. The objective of this study is to investigate different types of soliton solutions and analyze the integrable motion of induced space curves. This article appropriates the traveling wave transformation allowing the partial differential equation to be changed into an ordinary differential equation. To establish these soliton solutions, the study employs the new auxiliary equation method. As an outcome, a numerous types of soliton solutions like, Periodic pattern with anti-peaked crests and anti-troughs, singular solution, mixed complex solitary shock solution, mixed singular solution, mixed shock singular solution, mixed trigonometric solution, mixed periodic, periodic solution and mixed hyperbolic solution obtain via Mathematica. In order to visualize the graphical propagation of the obtained soliton solutions, 3D, 2D, and contour graphics are generated by choosing appropriate parametric values. The impact of parameter w is also graphically displayed on the propagation of solitons.
Analytical solitary wave solutions , Kuralay equation (K-IIE) , New auxiliary equation method (NAEM)
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Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Department of Computer Science and Mathematics, Lebanese American University, Beirut, 11022801, Lebanon
Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, 56100, Turkey
Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, Mersin 10, Nicosia, 99138, Turkey
Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, Egypt
Department of Mathematics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Computer Science and Mathematics
Department of Mathematics
Department of Mathematics
Center of Research
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