https://doi.org/10.1140/epjs/s11734-023-00954-x
Regular Article
On the analytical soliton solutions of (1 + 1)-dimensional complex coupled nonlinear Higgs field model
1
Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
2
Department of Computer Engineering, Biruni University, Istanbul, Turkey
3
Graduate School of Science and Engineering, Yildiz Technical University, Istanbul, Turkey
Received:
2
January
2023
Accepted:
19
July
2023
Published online:
3
August
2023
In this paper, the analytical solutions of the complex coupled Higgs field equation, which explains a system of conserved scalar nucleons that interact with neutral scalar mesons in particle physics, are extracted. The enhanced modified extended tanh expansion method (eMETEM) is successfully employed to solve the considered equation. Besides, the effect of problem parameters on a real scalar meson field and a complex scalar nucleon field is investigated, plotted and interpreted. Some effective results are obtained in the examination and are presented for the first time in this study. The obtained results can be applied to a wide range of nonlinear equations including ocean and shallow-water waves. 3D, 2D and contour graphical representations of the attained solutions are given using appropriate parameters. The method is efficient for gathering analytical solutions for various kinds of phenomena modeling by classical, fractional, or stochastic partial differential equations.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.