THE CONSTRUCTION OF ANALYTICAL EXACT SOLITON WAVES OF KURALAY EQUATION
Faridi W.A. Abu Bakar M. Myrzakulova Z. Myrzakulov R. Elamin M. Ragoub L. Akinyemi L.
1 December 2024Sciendo
Acta Mechanica et Automatica
2024#18Issue 4603 - 615 pp.
The primary objective of this work is to examine the Kuralay equation, which is a complex integrable coupled system, in order to investigate the integrable motion of induced curves. The soliton solutions derived from the Kuralay equation are thought to be the supremacy study of numerous significant phenomena and extensive applications across a wide range of domains, including optical fibres, nonlinear optics and ferromagnetic materials. The inverse scattering transform is unable to resolve the Cauchy problem for this equation, so the analytical method is used to produce exact travelling wave solutions. The modified auxiliary equation and Sardar sub-equation approaches are used to find solitary wave solutions. As a result, singular, mixed singular, periodic, mixed trigonometric, complex combo, trigonometric, mixed hyperbolic, plane and combined bright–dark soliton solution can be obtained. The derived solutions are graphically displayed in 2-D and 3-D glances to demonstrate how the fitting values of the system parameters can be used to predict the behavioural responses to pulse propagation. This study also provides a rich platform for further investigation.
analytical solitary wave solutions , modified auxiliary equation method , The Kuralay equation
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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 Mathematics, College of Science, Qassim University, Buraydah, 51452, Saudi Arabia
Mathematics Department, University of Prince Mugrin, P.O. Box 41040, Al Madinah, 42241, Saudi Arabia
Department of Mathematics, Hampton University, Hampton, VA, United States
Department of Mathematics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Department of Mathematics
Mathematics Department
Department of Mathematics
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