Approximate analytical solution of a higher wave equation of KdV type

Abstract

We consider a higher order of Korteweg-de Vries (KdV) equation which is an important water wave model. We find the approximate analytical solution of the proposed model by Exponential Homotopy Analysis Method (EHAM). By using this method, we solved the problem analytically and than compare the numerica result with exact solution. Numerical results reveal that the EHAM provides hhighly accurate numerical solutions for higher order KdV equation. The EHAM solution includes an auxiliary parameter. This parameter provides a convenient way adjusting and controlling the convergence region of solution series.