Analytical Investigation of Temperature-Dependent Thermoelastic Behavior under Laser Pulse Influence within the Coupled Theory Framework Using Improved Modified Extended Tanh Function Method

his study presents the Improved Modified Extended Tanh Function Method (IMETFM) as an advanced analytical approach to investigate the influence of laser pulse phenomena on thermo-elastic materials exhibiting temperature dependent properties within the framework of coupled thermoelasticity theory. Given the nonlinear nature of thermoelasticity, the research focuses on scenarios where thermal variations induce substantial changes in both the material’s structural form and intrinsic characteristics. Understanding these interactions is crucial for accurately modeling real-world applications, such as the distribution of thermal stresses in large-scale engineering structures, the impact of temperature fluctuations on material performance, and the intricate coupling between mechanical and thermal responses. By employing the proposed analytical method, a diverse set of exact wave solutions has been derived, incorporating multiple free parameters. These solutions include bright soliton solutions, as well as rational, exponential, and hyperbolic function-based solutions. To further elucidate the findings, graphical representations of key physical quantities are provided, suchprovided, such as temperature, displacement fields, and components, offering deeper insight into the underlying thermoelastic behavior and facilitating better interpretation of the results.