https://doi.org/10.1140/epjp/s13360-024-05765-0
Regular Article
New diverse types of the soliton arising from the integrable Kuralay equations against its numerical solutions
1
Department of Basic Science, Faculty of Engineering, Benha University, Shubra, Egypt
2
Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
3
Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, 26030, Eskisehir, Turkey
Received:
21
March
2024
Accepted:
21
October
2024
Published online:
6
November
2024
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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
