Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada-Kotera-Ito equation

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• 作者：Emrullah Yaşar^a ; ^{eyasar@uludag.edu.tr} ; Yakup Yıldırım^a ; ^{yyildirim@windowslive.com} ; Chaudry Masood Khalique^b ; ^{Masood.Khalique@nwu.ac.za}
• 关键词：Fractional Sawada&ndash ; Kotera&ndash ; Ito equation ; Lie symmetry ; Riemann&ndash ; Liouville fractional derivative ; Conservation laws ; Exact solutions
• 刊名：Results in Physics
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：6
• 期：Complete
• 页码：322-328
• 全文大小：359 K
• 卷排序：6

文摘

In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed. Using the Lie point symmetries of FSKI equation, it is shown that it can be transformed into a nonlinear ordinary differential equation of fractional order with a new dependent variable. In the reduced equation the derivative is in Erdelyi–Kober sense. Furthermore, adapting the Ibragimov’s nonlocal conservation method to time fractional partial differential equations, we obtain conservation laws of the underlying equation. In addition, we construct some exact travelling wave solutions for the FSKI equation using the sub-equation method.