Exact solutions of nonlinear fractional order partial differential equations via singular manifold method

Faculty Engineering Year: 2019
Type of Publication: ZU Hosted Pages:
Authors:
Journal: Chinese Journal of Physics Elsevier Volume:
Keywords : Exact solutions , nonlinear fractional order partial    
Abstract:
Singular manifold method is applied to solve nonlinear fractional partial differential equations (NLFPDEs). Fractional complex transformation is firstly used to reduce the equations to ordinary differential equations (ODEs). Using Bäcklund transformation the Schwarzian derivatives for the Eigen functions are obtained leading to a new variety of exact solutions. The method is applied to nonlinear time fractional Klein-Gordon, Cahn-Hilliard, Burger and Cahn-Allen equations. Some of the resulting solutions are graphically illustrated showing periodic kink, multi soliton and kink solutions
   
     
 
       

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