Approximate solutions of K (2,2), KdV and modified KdV equations by variational iteration method, homotopy perturbation method and homotopy analysis method
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.
机构:
Zhejiang Gongshang Univ, Coll Stat & Math, Hangzhou 310018, Peoples R ChinaZhejiang Gongshang Univ, Coll Stat & Math, Hangzhou 310018, Peoples R China
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
Feng, Xinlong
He, Yinnian
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China