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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… Click to show full abstract
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 Backlund 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.
Journal Title: Chinese Journal of Physics
Year Published: 2019
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