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APPLICATION OF THE ANALYTICAL METHOD FOR SOLVING THE CHEMICAL KINETICS SYSTEM | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 اسفند 1403 اصل مقاله (11.83 M) | ||
| 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 | ||
| 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. | ||
| کلیدواژهها | ||
| improved tan (Φ(x)/2)-expansion method؛ generalized (G'/G)-expansion method؛ travelling wave؛ the chemical kinetics system؛ solitons | ||
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