journal article·2023-10-01Open access

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

Ma’mon Abu Hammad, Rasool Shah, B. M. Alotaibi, Mohammed Alotiby, C. G. L. Tiofack, Albandari W. Alrowaily, S. A. El-Tantawy

AIP Advances· Volume 13· Issue 10

Abstract

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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Research context

OpenAlex topics: Nonlinear Waves and Solitons · Fractional Differential Equations Solutions · Nonlinear Photonic Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Department of Mathematics, Al-Zaytoonah University of Jordan 1 , Amman 11733, Jordan

Department of Mathematics, Abdul Wali Khan University 2 , Mardan 23200, Pakistan

3 Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

Department of Physics, College of Science, Princess Nourah bint Abdulrahman University 4 , P.O. Box 84428, Riyadh 11671, Saudi Arabia

Nuclear Technologies Institute (NTI), King Abdulaziz City for Science & Technology (KACST) 5 , P.O. Box 6086, Riyadh 11442, Saudi Arabia

Higher Teachers’ Training College, University of Maroua 6 , P.O. Box 55, Maroua, Cameroon

Department of Physics, Faculty of Science, Port Said University 7 , Port Said 42521, Egypt

Research Center for Physics (RCP), Department of Physics, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University 8 , Al-Baha 1988, Saudi Arabia

Funding

Princess Nourah bint Abdulrahman University · Al-Zaytoonah University of Jordan

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