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Soliton dynamics and nonlinear phenomena in quantum deformation has been investigated through conformal time differential generalized form of q deformed Sinh-Gordon equation. The underlying equation has recently undergone substantial amount of research. In Phase 1, we employed modified auxiliary and new direct extended algebraic methods. Trigonometric, hyperbolic, exponential and rational solutions are successfully extracted using these techniques, coupled with the best possible constraint requirements implemented on parameters to ensure the existence of solutions. The findings, then, are represented by 2D, 3D and contour plots to highlight the various solitons' propagation patterns such as kink-bright, bright, dark, bright-dark, kink, and kink-peakon solitons and solitary wave solutions. It is worth emphasizing that kink dark, dark peakon, dark and dark bright solitons have not been found earlier in literature. In phase 2, the underlying model is examined under various chaos detecting tools for example lyapunov exponents, multistability and time series analysis and bifurcation diagram. Chaotic behavior is investigated using various initial condition and novel results are obtained. [ABSTRACT FROM AUTHOR]

This correction notice addresses errors in the author affiliations of the article titled "Computation of soliton structure and analysis of chaotic behaviour in quantum deformed Sinh-Gordon model." The correct affiliations are provided, including the institutions and locations of the authors. It is noted that the fourth and fifth authors, Muhammad Bilal Riaz and Atef Abdel Kader, should not have been attributed equal contribution to the work. The correction is reported by Adil Jhangeer, Farheen Ibraheem, Tahira Jamal, Muhammad Bilal Riaz, and Atef Abdel Kader. [Extracted from the article]