On the modified versions of G′G-expansion technique for analyzing the fractional coupled Higgs system

Autor: Ma’mon Abu Hammad, Rasool Shah, B. M. Alotaibi, Mohammed Alotiby, C. G. L. Tiofack, Albandari W. Alrowaily, S. A. El-Tantawy
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIP Advances, Vol 13, Iss 10, Pp 105131-105131-20 (2023)
Druh dokumentu: article
ISSN: 2158-3226
DOI: 10.1063/5.0167916
Popis: In this research, two modified forms of the Ḡ≡G′G-expansion method are employed to investigate various kinds of solitary wave solutions that include kink, lump, periodic, and rogue wave solutions within the framework of the fractional coupled Higgs system. The underlying patterns in the targeted model are revealed by using extended and generalized Ḡ-expansion methods. The first step involves converting the model into nonlinear ordinary differential equations via a fractional complex transformation. Following that, the suggested improved versions of the Ḡ-expansion approach are used to provide numerous solitary wave solutions. Some solitary wave solutions are represented by two- and three-dimensional graphs, demonstrating their typical propagating behavior. This research finishes by summarizing the vast findings and exploring their implications for high-energy physics.
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