Journal
OPTIK
Volume 130, Issue -, Pages 737-742Publisher
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2016.10.136
Keywords
Time-fractional Klein-Gordon equations; Quadratic and cubic nonlinearities; Conformable fractional derivative; Modified Kudryashov method; New exact solutions
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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 non-linearities 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. (C) 2016 Elsevier GmbH. All rights reserved.
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