Soliton and other solutions of nonlinear time fractional parabolic equations using extended G′/G-expansion method

被引：22

作者：

Ekici, Mehmet ^{[1
]}

机构：

[1] Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey

来源：

OPTIK | 2017年 / 130卷

关键词：

Solitons; Extended G '/G-expansion method; Nonlinear time fractional parabolic equations; TRAVELING-WAVE SOLUTIONS; POWER-LAW NONLINEARITY; SYMBOLIC COMPUTATION; (G'/G)-EXPANSION METHOD; DIFFERENTIAL-EQUATIONS; PERTURBATION TECHNIQUE; MATHEMATICAL PHYSICS; EVOLUTION-EQUATIONS; PERIODIC-SOLUTIONS; KDV;

D O I：

10.1016/j.ijleo.2016.11.104

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper utilizes Jumarie's modified Riemann-Liouville derivative and extended G'/G-expansion method to discuss the soliton solutions of the nonlinear time fractional parabolic equations. Exact solutions are expressed in terms of hyperbolic and trigonometric functions. These solutions may be useful and desirable to explain some nonlinear physical phenomena in genuinely nonlinear fractional calculus. Several constraint conditions naturally emerge from the results obtained and these conditions are also listed. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：1312 / 1319

页数：8

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