Exact and numerical solutions to the system of the chlorite iodide malonic acid chemical reactions

In this paper, we will study Lengyel–Epstein (LE) system of chlorite iodide malonic acid (CIMA) chemical equations for bell-shaped, kink-type, and singular solutions. To get these solutions, we will use various integration schemes like sine–cosine approach (SCA), csch\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$csch$$\end{document} technique and tan\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tan $$\end{document}-cot\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\cot $$\end{document} architectonic, respectively. We will also find some power series solutions for our governing model using residual power series method (RPSM) and provide a detailed comparison of exact and power series solutions. We also demonstrate our solutions graphically.