New diverse types of the soliton arising from the integrable Kuralay equations against its numerical solutions
Zahran E.H.M. Umurzakhova Z. Bekir A. Myrzakulov R. Ibrahim R.A.
November 2024Springer Science and Business Media Deutschland GmbH
European Physical Journal Plus
2024#139Issue 11
The paper aims to establish diverse types of the soliton solutions for the integrable Kuralay equations to discuss the integrable motion of the induced space curves by these equations. The solitons arising from the integrable Kuralay equations are considered by tall superiority and qualitative studies for many effective phenomena in various fields such as ferromagnetic materials, nonlinear optics and optical fibers. There are two various schemes are suggested to establish these diverse types of solitons that arise from this model, namely the extended simple equation method and the Paul-Painleve approach method. New diverse types of the soliton solutions that appear in forms of periodic trigonometric function soliton solutions, parabolic function soliton solutions, singular soliton solutions, W-like soliton solutions and M-like soliton solutions have been documented. The suggested techniques are used for the first time for this target. The achieved soliton solutions will offer a rich podium to study the nonlinear spin dynamics in magnetic materials. Moreover, we will construct the numerical solutions for all achieved soliton solutions by using the differential transform methods. The comparison between the new achieved soliton solutions with its consistent numerical solutions has been documented.
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Department of Basic Science, Faculty of Engineering, Benha University, Shubra, Egypt
Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir, 26030, Turkey
Department of Basic Science
Eurasian International Centre for Theoretical Physics
Neighbourhood of Akcaglan
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