Exact solutions of space-time fractional EW and modified EW equations. (March 2017)

• Record Type: Journal Article
• Authors: Korkmaz, Alper
• Is Part Of: Chaos, solitons and fractals. Volume 96(2017)
• Page Start: 132
• Page End: 138
• Publication Date: 2017-03
• Subjects: Fractional EW equation -- Fractional MEW equation -- Bright soliton -- Singular solution; 35R10 -- 35Q51 -- 35L05 -- 26A33; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2017.01.015
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: The bright soliton solutions and singular solutions are constructed for the space-time fractional EW and the space-time fractional modified EW (MEW) equations. Both equations are reduced to ordinary differential equations by the use of fractional complex transform (FCT) and properties of modified Riemann–Liouville derivative. Then, various ansatz method are implemented to construct the solutions for both equations.