Solitary solutions for the nonlinear dispersive equations with fractional time derivatives

2007 ◽  
Vol 370 (3-4) ◽  
pp. 295-301 ◽  
Author(s):  
Zaid M. Odibat
Keyword(s):  
Dispersive Equations ◽  
Nonlinear Dispersive Equations ◽  
Solitary Solutions

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

2010 ◽  
Vol 20 (2) ◽  
pp. 174-185 ◽  
Author(s):  
Hüseyin Koçak ◽  
Turgut Öziş ◽  
Ahmet Yıldırım
Keyword(s):  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Time Derivative ◽  
Approximate Solutions ◽  
Dispersive Equations ◽  
Content Type ◽  
Nonlinear Dispersive Equations ◽  
Homotopy Perturbation ◽  
Solitary Solutions ◽  
Fractional Time Derivative

PurposeThis 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/approachThe 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.FindingsThe paper extends the application of the HPM to obtain analytic and approximate solutions to the nonlinear dispersive equations with fractional time derivatives.Originality/valueThis paper extends the HPM to the equation with fractional time derivative.

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