<p>This study aims to examine the effect of rotation on thermoelastic materials within the framework of Coupled Theory (CT) by acquiring exact wave solutions for the governing equations, which account for temperature dependent material characteristics. This work uses the Improved Modified Extended Tanh Function (IMETF) technique, a powerful analytical tool that enables the investigation of the complex interplay between the mechanical and thermal behavior of such materials. Using this technique, the study facilitates the derivation of exact analytical solutions that precisely describe the intricate wave propagation phenomena within thermoelastic systems. The IMETF approach proves to be highly effective in generating a wide range of wave structures, providing a versatile method for exploring various physical conditions in thermoelasticity through solutions that incorporate adjustable free parameters. These adaptable solutions offer a comprehensive framework for analysing different scenarios and their influence on thermoelastic behavior. The study reveals that rotation significantly alters wave propagation, leading to diverse soliton structures. Representative solutions include bright, dark, and singular solitons, exponential, and Jacobi elliptic functions. Additionally, graphical results demonstrate the impact of rotation on temperature, displacement, and stress fields. These visual representations play a crucial role in providing deeper insights into the complex interactions governing thermoelastic systems.</p>