Homotopy perturbation method for the nonlinear dispersive K(m, n, 1) equations with fractional time derivatives

Purpose – This paper aims to apply He's homotopy perturbation method (HPM) to obtain solitary solutions for the nonlinear dispersive equations with fractional time derivatives.Design/methodology/approach – The authors choose as an example the nonlinear dispersive and equations with fractional time derivatives to illustrate the validity and the advantages of the proposed method.Findings – The paper extends the application of the HPM to obtain analytic and approximate solutions to the nonlinear dispersive equations with fractional time derivatives.Originality/value – This paper extends the HPM to the equation with fractional time derivative.

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