Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives
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摘要
In this work, variants of the KdV equation with time-fractional derivatives, which exhibits compactons: solitons with compact support, are investigated. New solitary-wave solutions with compact support are developed. The homotopy perturbation method is employed to derive compact solutions for these variants. The chosen initial solution or trial function plays a major role in changing the physical structure of the solution. The proposed scheme can be used to construct compact and noncompact solutions for a wide class of nonlinear fractional evolution equations.
论文关键词:Compacton,Soliton,Nonlinear dispersion,KdV equation,Homotopy perturbation method,Fractional derivative
论文评审过程:Available online 16 September 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.06.064