Homotopy perturbation method for fractional KdV equation. (English) Zbl 1122.65397

Summary: The homotopy perturbation method is directly applied to derive approximate solutions of the fractional Korteweg-de Vries (KdV) equation. The results reveal that the proposed method is very effective and simple for solving approximate solutions of fractional differential equations.


65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
65R20 Numerical methods for integral equations
45G10 Other nonlinear integral equations
45K05 Integro-partial differential equations
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