A Variety of New Explicit Analytical Soliton Solutions of q-Deformed Sinh-Gordon in (2+1) Dimensions

Haifa I Alrebdi,Abdel-Haleem Abdel-Aty,Clemente Cesarano,Asma Rashid Butt,Hichem Eleuch,Saima Arshed,Nauman Raza

doi:10.3390/sym14112425

A Variety of New Explicit Analytical Soliton Solutions of q-Deformed Sinh-Gordon in (2+1) Dimensions

Haifa I Alrebdi, Abdel-Haleem Abdel-Aty + Show 5 more

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https://doi.org/10.3390/sym14112425

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Journal: Symmetry	Publication Date: Nov 16, 2022
Citations: 8	License type: CC BY 4.0

Affiliation: Princess Nourah bint Abdulrahman University, University of Bisha, Al Azhar University, UniNettuno University, University of Engineering and Technology Lahore, University of Sharjah, Abu Dhabi University, Texas A&M University, University of the Punjab

#Complexiton Solutions #Hyperbolic Solutions + Show 8 more

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Abstract

In this paper, the (2+1)-dimensional q-deformed Sinh-Gordon model has been investigated via (G′G,1G)-expansion and Sine-Gordon-expansion methods. These techniques successfully retrieve trigonometric as well as hyperbolic solutions, along necessary restricted conditions applied on parameters. In addition to these solutions, dark solitons and complexiton solutions have also been obtained. The proposed equation expands the possibilities for modeling physical systems in which symmetry is broken. The obtained solutions are graphically illustrated. A Painlevé analysis for the proposed model has also been discussed in this paper.

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