https://doi.org/10.1140/epjp/s13360-024-05124-z
Regular Article
Novel soliton structures and dynamical behaviour of coupled Higgs field equations
Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, Pakistan
Received:
10
November
2023
Accepted:
18
March
2024
Published online:
13
April
2024
In this paper, we consider the coupled Higgs field equations, which explain the structure of the conserved scalar nucleons interacting with a neutral scalar meson. We obtain periodic and shock-wave profiles of the model using the Jacobi elliptic function (JEF) technique. The outcomes are in the form of trigonometric, hyperbolic, and rational function solutions. The dynamical behavior of the same model is investigated from several viewpoints, including bifurcation, quasi-periodic motion, chaotic patterns, Lyapunov exponents, and sensitivity analysis.
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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.