APPLICATION OF THE ANALYTICAL METHOD FOR SOLVING THE CHEMICAL KINETICS SYSTEM

Articles in Press

Document Type : Research Paper

Author

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

Abstract

In this paper, the improved tan (Φ(χ)/2)-expansion method is proposed to seek more general exact solutions of the chemical kinetics system. Being
concise and straightforward, these methods are applied to the chemical kinetics
system. As a result, many new and more general exact travelling wave solu-
tions are obtained including periodic function solutions, soliton-like solutions and
trigonometric function solutions. To give more physical insights to the obtained
solutions, we present graphically their representative structures by setting the
arbitrary constants in the solutions as specific functions. Kink, singular kink
and different types of soliton solutions are successfully recovered through the
improved expansion method. The outcomes of various studies show that the ap-
plied method is highly efficient and well-suited for tackling problems in applied
sciences and mathematical physics. Graphical representations, coupled with nu-
merical data, reinforce the validity and accuracy of the technique. The proposed
method is a convenient and powerful tool for handling the solution of nonlinear
equations, making it particularly effective in exploring complex wave phenomena
in diverse scientific fields.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 26 February 2025

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History

  • Receive Date: 01 November 2024
  • Revise Date: 23 November 2024
  • Accept Date: 22 February 2025

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