Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method

作者：Tari Hafez; Ganji D D^*; Rostamian M

来源：International Journal of Nonlinear Sciences and Numerical Simulation, 2007, 8(2): 203-210.

• variational iteration method (VIM)
• homotopy perturbation method (HPM)
• homotopy analysis method (HAM)
• KdV equation
• modified KdV equation

This paper applies the variational iteration method, the homotopy perturbation method, and the homotopy analysis method for solving, respectively, KdV, K(2,2) and modified KdV equations. The results show that the variational iteration method and the homotopy perturbation method are more effective and simpler that the homotopy analysis method.

• 出版日期2007