Modified Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities

被引：147

作者：

Hosseini, K. ^{[1
]}

Mayeli, P. ^{[2
]}

Ansari, R. ^{[3
]}

机构：

[1] Islamic Azad Univ, Rasht Branch, Dept Math, Rasht, Iran

[2] Islamic Azad Univ, Lahijan Branch, Young Researchers & Elite Club, Lahijan, Iran

[3] Univ Guilan, Dept Mech Engn, Rasht, Iran

来源：

OPTIK | 2017年 / 130卷

关键词：

Time-fractional Klein-Gordon equations; Quadratic and cubic nonlinearities; Conformable fractional derivative; Modified Kudryashov method; New exact solutions; FUNCTIONAL VARIABLE METHOD; 1ST INTEGRAL METHOD; FINDING EXACT-SOLUTIONS; SPATIOTEMPORAL DISPERSION; DIFFERENTIAL-EQUATIONS; PERIODIC-SOLUTIONS; OPTICAL SOLITONS;

D O I：

10.1016/j.ijleo.2016.10.136

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

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.

引用

页码：737 / 742

页数：6

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