Application of the analytical method for solving the chemical kinetics system

Hassan, Inaam Rikan

doi:10.22034/cmde.2024.64302.2910

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	Application of the analytical method for solving the chemical kinetics system
Computational Methods for Differential Equations
مقاله 12، دوره 13، شماره 4، دی 2025، صفحه 1233-1249 اصل مقاله (381.19 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.64302.2910
نویسنده
Inaam Rikan Hassan^*
University of Information Technology and Communications, (UoITC), Baghdad, Iraq.
چکیده
This work introduces an enhanced $tan(\chi/2)$-expansion method to obtain exact solutions for 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.
کلیدواژه‌ها
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

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Application of the analytical method for solving the chemical kinetics system