Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities. Issue 3 (3rd July 2018)

• Record Type: Journal Article
• Authors: Hosseini, Kamyar; Mayeli, Peyman; Ansari, Reza
• Is Part Of: Waves in random and complex media. Volume 28:Issue 3(2018)
• Page Start: 426
• Page End: 434
• Publication Date: 2018-07-03
• Subjects: Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2017.1362133
• Languages: English
• ISSNs: 1745-5030

Abstract

Abstract: Finding the exact solutions of nonlinear fractional differential equations has gained considerable attention, during the past two decades. In this paper, the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities are studied. Several exact soliton solutions, including the bright (non-topological) and singular soliton solutions are formally extracted by making use of the ansatz method. Results demonstrate that the method can efficiently handle the time-fractional Klein–Gordon equations with different nonlinearities.