APPROXIMATE SOLUTIONS TO AN APPROPRIATE MODEL EQUATION FOR FINITE-AMPLITUDE WAVES ON SHALLOW WATER SURFACES

Nonlinear phenomena play a crucial role in applied mathematics and physics. The results of solving nonlinear equations can guide us to know the described process deeply. Because it is difficult to obtain the exact solution for these problems, we can use one of the standard methods for solving nonlinear differential equations. In this paper, we apply the variational iteration method (VIM) for finding approximate solutions of the Korteweg-de Vries (KdV) equation, which describes the propagation of finite-amplitude waves in shallow water surfaces. The obtained solutions are compared with exact solution. The results are in good agreement, especially for higher iterations.