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

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 hyperbolic solutions, along necessary restricted conditions applied on parameters. addition to these dark solitons complexiton solutions have also obtained. The proposed equation expands possibilities for modeling physical systems in which symmetry is broken. obtained are graphically illustrated. A Painlevé analysis discussed paper.