Modified Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities

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• 作者：K. Hosseini^a ; ^{kamyar_hosseini@yahoo.com} ; P. Mayeli^b ; R. Ansari^c
• 关键词：02.30.Jr ; 02.70.Wz ; 04.20.Jb
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：737-742
• 全文大小：426 K
• 卷排序：130

文摘

The nonlinear time-fractional Klein–Gordon equations play an important role in describing some physical events in solid state physics, nonlinear optics, and quantum field theory. In this paper, the time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities in the sense of the conformable fractional derivative are solved via the modified Kudryashov method. A few new explicit exact solutions of these equations are formally constructed. Results confirm the efficiency of the modified Kudryashov method in handling the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities.