University of Tabriz Computational Methods for Differential Equations 2345-3982 13 4 2025 10 01 Application of the analytical method for solving the chemical kinetics system 1233 1249 19395 10.22034/cmde.2024.64302.2910 EN Inaam Rikan Hassan University of Information Technology and Communications, (UoITC), Baghdad, Iraq. Journal Article 2024 11 01 This work introduces an enhanced $tan(\chi/2)$-expansion method to obtain exact solutions for<br />chemical kinetics systems. This technique works directly with the governing equations of chemical kinetics systems. Our work yields many new fundamental traveling wave solutions that combine periodic functions with soliton-like and other trigonometric shapes. To better illustrate our solutions, we show visual representations by assigning specific values to the arbitrary constants. The improved expansion method successfully obtains kink, singular kink, and multiple soliton solutions. The results demonstrate that the method is effective for real-world applications and physics equations. Graphical visualizations support our findings to show the method's accuracy and reliability. Our suggested method effectively solves nonlinear equations and provides useful results for studying complicated wave behavior across multiple scientific disciplines. Improved $\tan\left(\Phi(\chi)/2\right) $-expansion method Generalized (G’/G)-expansion method Travelling wave the chemical kinetics system solitons Kink Periodic and rational solutions https://cmde.tabrizu.ac.ir/article_19395_6ff5fa019484c5dca60354feee0b8059.pdf