Fractals and Chaotic Solitons Phenomena in Conformable Coupled Higgs System

Naveed Iqbal, Wael W. Mohammed, Amjad E. Hamza, Shah Hussain, Yousef Jawarneh and Rasool Shah

Discrete Dynamics in Nature and Society, 2025, vol. 2025, 1-16

Abstract: The current study aims to construct and examine a new plethora of soliton solutions for the conformable coupled Higgs system (CCHS), a system of nonlinear fractional partial differential equations (NFPDEs) which was initially presented utilize a systematic structure to consider the responsive mechanism of the Higgs system in the electroweak theory perspective, within the framework of the standard model of physics. To achieve our goal, we utilize a transformation-based analytical technique, namely, the generalized Bernoulli equation method (gBEM), which reduces CCHS to nonlinear ordinary differential equations (NODEs) via a fractional complex transformation. The fresh assortment of soliton solutions is produced when the resultant NODEs are tackled using the Maple tool. We employ 3D and contour visualizations to graphically represent the behavior of acquired solitons, which prominently reveal that these soliton solutions show axial, chaotic, and periodic perturbations which induce instabilities in soliton and may lead to the formation of fractals. The results appear groundbreaking, showcasing diverse families of soliton solutions with intricate interrelations and dynamics. These findings not only advance our theoretical understanding of CCHS dynamics but they may also have implications in NFPDE–related fields.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ddns/2025/8384630.pdf (application/pdf)
http://downloads.hindawi.com/journals/ddns/2025/8384630.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8384630

DOI: 10.1155/ddns/8384630

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().