Investigation of complex hyperbolic and periodic wave structures to a new form of the q-deformed sinh-Gordon equation with fractional temporal evolution
Source abstract
Abstract
This paper presents the fractional generalized q-deformed sinh-Gordon equation. The fractional effects of the temporal derivative of the proposed model are studied using a conformable derivative. The analytical solutions of the governing model depend on the specified parameters. The resulting equation is studied with two integration architectures: the sine-Gordon expansion method and the modified auxiliary equation method. These strategies extract hyperbolic, trigonometric, and rational form solutions. For appropriate parametric values and different values of fractional parameter α, the acquired findings are displayed via 3D graphics, 2D line plots, and contour plots. The graphical simulations of the constricted solutions depict the existence of bright soliton, dark soliton, and periodic waves. The considered model is useful in describing physical mechanisms that possess broken symmetry and incorporate effects such as amplification or dissipation.
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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 Physics, College of Sciences, University of Bisha 1 , P.O. Box 344, Bisha 61922, Saudi Arabia
Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus 2 , Lahore 54590, Pakistan
Department of Physics, College of Science, Princess Nourah bint Abdulrahman University 3 , P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University 4 , Alkharj 11942, Saudi Arabia
Department of Applied Physics and Astronomy, University of Sharjah 5 , Sharjah 27272, United Arab Emirate
College of Arts and Sciences, Abu Dhabi University 6 , Abu Dhabi 59911, United Arab Emirates
Institute for Quantum Science and Engineering, Texas A&M University 7 , College Station, Texas 77843, USA
Funding
Princess Nourah Bint Abdulrahman University
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