In this study, we applied the variational iteration method to solve Boussinesq time equation. Bossiness’s article from 1872 introduced equations that are now known as equations. Numerical methods commonly utilized nonlinear equation systems. Several research papers have documented values of and its applications for various categories differential A comparison exact numerical solutions was obtai...

In this article, we propose a new approximate procedure based on He’s variational iteration method for solving nonlinear hyperbolic equations. We introduce two transformations q = ut and σ = ux and formulate a first-order system of equations. We can obtain the approximation solution for the scalar unknown u, time derivative q = ut and space derivative σ = ux, simultaneously. Finally, some examp...