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<p>In this paper, we present a comprehensive analysis of a exact wave solution for the coupled theory of thermoelasticity with temperature dependence Utilizing the improved modified extended tanh function method (IMETFM). The governing equations for one-dimensional thermoelasticity are derived and then transformed into dimensionless form. By applying an appropriate moving wave transformation, the resulting partial differential equations (PDEs) are reduced to ordinary differential equations. The IMETFM is then employed to obtain exact wave solutions featuring various free parameters, including exponential solution and hyperbolic solution offering insights into the behavior of thermoelastic materials under different thermal and mechanical conditions. The results highlight the efficiency and applicability of the method in solving coupled thermoelastic problems, providing useful solutions for engineering applications and further theoretical developments.</p>

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Comprehensive Analysis of Exact Wave Solutions in Temperature-Dependent Coupled Nonlinear Thermoelasticity Theory Using Advanced Analytic methods

  • 期刊论文

  • 发表日期：

    2025年4月21日

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  • Mohamed F. Ismail,
  • Hamdy M. Ahmed,
  • Ghareeb A. Marei,
  • Islam Samir

摘要

In this paper, we present a comprehensive analysis of a exact wave solution for the coupled theory of thermoelasticity with temperature dependence Utilizing the improved modified extended tanh function method (IMETFM). The governing equations for one-dimensional thermoelasticity are derived and then transformed into dimensionless form. By applying an appropriate moving wave transformation, the resulting partial differential equations (PDEs) are reduced to ordinary differential equations. The IMETFM is then employed to obtain exact wave solutions featuring various free parameters, including exponential solution and hyperbolic solution offering insights into the behavior of thermoelastic materials under different thermal and mechanical conditions. The results highlight the efficiency and applicability of the method in solving coupled thermoelastic problems, providing useful solutions for engineering applications and further theoretical developments.