Application of the analytical method for solving the chemical kinetics system

Hassan, Inaam Rikan

doi:10.22034/cmde.2024.64302.2910

Application of the analytical method for solving the chemical kinetics system

Document Type : Research Paper

Author

Inaam Rikan Hassan

University of Information Technology and Communications, (UoITC), Baghdad, Iraq.

10.22034/cmde.2024.64302.2910

Abstract

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.

Keywords

Main Subjects

Approximation methods and numerical treatment of dynamical systems

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