Comparison of solutions of linear and non-linear shallow water wave equations using homotopy perturbation method

Purpose - This paper aims to solve linear and non-linear shallow water wave equations using homotopy perturbation method (HPM). HPM is a straightforward method to handle linear and non-linear differential equations. As such here, one-dimensional shallow water wave equations have been considered to solve those by HPM. Interesting results are reported when the solutions of linear and non-linear equations are compared. Design/methodology/approach - HPM was used in this study. Findings - Solution of one-dimensional linear and non-linear shallow water wave equations and comparison of linear and non-linear coupled shallow water waves from the results obtained using present method. Originality/value - Coupled non-linear shallow water wave equations are solved.