Soliton solution of fractional-order nonlinear differential equations based on the exp-function method

被引：13

作者：

Guner, Ozkan ^{[1
]}

Atik, Hasan ^{[2
]}

机构：

[1] Cankiri Karatekin Univ, Fac Econ & Adm Sci, Dept Int Trade, Cankiri, Turkey

[2] Istanbul Medeniyet Univ, Art Sci Fac, Dept Math, Istanbul, Turkey

来源：

OPTIK | 2016年 / 127卷 / 20期

关键词：

Modified Riemann-Liouville derivative; Exp-function method; Time fractional nonlinear differential equation; 1ST INTEGRAL METHOD; PERIODIC-SOLUTIONS;

D O I：

10.1016/j.ijleo.2016.07.070

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The exp-function method and fractional complex transform are applied for exact solutions of time fractional modified nonlinear Kawahara equation and fractional advection-diffusion-reaction equation with the modified Riemann-Liouville derivative. We see that this method is computationally applicable and effective. (C) 2016 Elsevier GmbH. All rights reserved.

引用

页码：10076 / 10083

页数：8

共 50 条

[41] Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV
Ayati, Z.
Badiepour, A.
[J]. ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
[42] GENERALIZED EXP-FUNCTION METHOD FOR NON-LINEAR SPACE-TIME FRACTIONAL DIFFERENTIAL EQUATIONS
Yan, Li-Mei
Xu, Feng-Sheng
[J]. THERMAL SCIENCE, 2014, 18 (05): : 1573 - 1576
[43] Soliton solutions of fractional modified unstable Schrodinger equation using Exp-function method
Zulfiqar, Aniqa
Ahmad, Jamshad
[J]. RESULTS IN PHYSICS, 2020, 19
[44] Application of Exp-function method for nonlinear evolution equations with variable coefficients
El-Wakil, S. A.
Madkour, M. A.
Abdou, M. A.
[J]. PHYSICS LETTERS A, 2007, 369 (1-2) : 62 - 69
[45] A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method
Zhao, Lei
Huang, Dingjiang
Zhou, Shuigeng
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1890 - 1896
[46] New Soliton Solutions of Chaffee-Infante Equations Using the Exp-Function Method
Sakthivel, Rathinasamy
Chun, Changbum
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (03): : 197 - 202
[47] THE SOLUTION OF KORTWAGE EQUATION BY EXP-FUNCTION METHOD
Taghizadeh, N.
Akbari, M.
[J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2008, 2 (01): : 53 - 59
[48] Application of the exp-function method to nonlinear lattice differential equations for multi-wave and rational solutions
Aslan, Ismail
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (14) : 1707 - 1710
[49] Exp-function method to solve the nonlinear dispersive K(m,n) equations
Zhou, Xin-Wei
Wen, Yi-Xin
He, Ji-Huan
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2008, 9 (03) : 301 - 306
[50] Finding general and explicit solutions of high nonlinear equations by the Exp-Function method
Ganji, Z. Z.
Ganji, D. D.
Asgari, A.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (11-12) : 2124 - 2130

← 1 2 3 4 5 →