Soliton solutions of (2+1)-dimensional time-fractional Zoomeron equation

被引：44

作者：

Aksoy, Esin ^{[1
]}

Cevikel, Adem C. ^{[1
]}

Bekir, Ahmet ^{[2
]}

机构：

[1] Yildiz Tech Univ, Fac Educ, Math Educ Dept, Istanbul, Turkey

[2] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey

来源：

OPTIK | 2016年 / 127卷 / 17期

关键词：

Exact solutions; Time fractional Zoomeron equation; Fractional complex transformation; Modified Riemann-Liouville derivative; Sub-equation method; Generalized Kudryashov method; PARTIAL-DIFFERENTIAL-EQUATIONS; FUNCTIONAL VARIABLE METHOD; FINDING EXACT-SOLUTIONS;

D O I：

10.1016/j.ijleo.2016.04.122

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this article, a new application of sub-equation and generalized Kudryashov methods has been used for solution of nonlinear (2+1)-dimensional time fractional Zoomeron equation with modified Riemann-Liouville derivative. For this, the fractional complex transformation has been used to convert fractional differential equation to ordinary differential equation of integer order. As a result, two types of exact analytical solutions have been obtained. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：6933 / 6942

页数：10

共 40 条

[1]

Abazari R., 2011, APPL MATH SCI, V5, P2943

[2] Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation [J].

Marwan Alquran ;

Kamel Al-Khaled .

Mathematical Sciences, 2012, 6 (1)

[3]

[Anonymous], 2006, THEORY APPL FRACTION

[4]

[Anonymous], 1993, INTRO FRACTIONAL CA

[5]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[6]

Bekir A., 2015, J COMPUT NONLIN DYN, V10

[7] Exact solutions of nonlinear time fractional partial differential equations by sub-equation method [J].

Bekir, Ahmet ;

Aksoy, Esin ;

Cevikel, Adem C. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (13) :2779-2784

[8]

Bekir A, 2015, ROM J PHYS, V60, P360

[9] The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations [J].

Bekir, Ahmet ;

Guner, Ozkan ;

Unsal, Omer .

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2015, 10 (02)

[10] Functional Variable Method for the Nonlinear Fractional Differential Equations [J].

Bekir, Ahmet ;

Guner, Ozkan ;

Aksoy, Esin ;

Pandir, Yusuf .

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), 2015, 1648

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