A comparative study on the analytic solutions of fractional coupled sine–Gordon equations by using two reliable methods

作者：

Highlights：

• New modified homotopy analysis method has been proposed.

• The proposed novel method is well suited for present fractional S–G equation.

• It is obvious to see that the MHAM is more accurate, easy and efficient than HPTM.

• Fractional coupled S–G equations have been first time solved by MHAM and HPTM.

摘要

•New modified homotopy analysis method has been proposed.•The proposed novel method is well suited for present fractional S–G equation.•It is obvious to see that the MHAM is more accurate, easy and efficient than HPTM.•Fractional coupled S–G equations have been first time solved by MHAM and HPTM.

论文关键词：Modified homotopy analysis method (MHAM),Caputo fractional derivative,Fractional coupled sine–Gordon (S–G) equations,Homotopy perturbation transform method (HPTM)

论文评审过程：Available online 8 January 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2014.12.052