Analytical approach for the fractional differential equations by using the extended tanh method. Issue 3 (3rd July 2018)

• Record Type: Journal Article
• Authors: Pandir, Yusuf; Yildirim, Ayse
• Is Part Of: Waves in random and complex media. Volume 28:Issue 3(2018)
• Page Start: 399
• Page End: 410
• Publication Date: 2018-07-03
• Subjects: Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2017.1356490
• Languages: English
• ISSNs: 1745-5030

Abstract

Abstract: In this study, we consider analytical solutions of space–time fractional derivative foam drainage equation, the nonlinear Korteweg–de Vries equation with time and space-fractional derivatives and time-fractional reaction–diffusion equation by using the extended tanh method. The fractional derivatives are defined in the modified Riemann–Liouville context. As a result, various exact analytical solutions consisting of trigonometric function solutions, kink-shaped soliton solutions and new exact solitary wave solutions are obtained.