SYMBOLIC COMPUTATION OF SOME NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

被引:0
作者
Biswas, A. [1 ,2 ]
Bhrawy, A. H. [2 ,3 ]
Abdelkawy, M. A. [3 ]
Alshaery, A. A. [4 ]
Hilal, E. M. [4 ]
机构
[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[3] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf 62511, Egypt
[4] King Abdulaziz Univ, Fac Sci Girls, Dept Math, Jeddah 21589, Saudi Arabia
来源
ROMANIAN JOURNAL OF PHYSICS | 2014年 / 59卷 / 5-6期
关键词
G/G-expansion method; modified Riemann-Liouville fractional derivative; double sine-Poisson equation; double sinh-Poisson equation; Liouville equation; KADOMTSEV-PETVIASHVILI EQUATION; TRAVELING-WAVE SOLUTIONS; POWER-LAW NONLINEARITY; ELLIPTIC FUNCTION-METHOD; CHIRAL SOLITONS; KDV EQUATION; WATER WAVES; SINE-COSINE; TANH-COTH;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper studies a few fractional nonlinear equations from mathematical physics. The fractional derivatives are in the sense of modified Riemann-Liouville fractional derivative. The G/G-expansion method is applied to retrieve solutions to these equations. Several forms of solutions are obtained that are listed in this paper.
引用
收藏
页码:433 / 442
页数:10
相关论文
共 43 条
[1]   (G′/G)-expansion method for two-dimensional force-free magnetic fields described by some nonlinear equations [J].
Abdelkawy, M. A. ;
Bhrawy, A. H. .
INDIAN JOURNAL OF PHYSICS, 2013, 87 (06) :555-565
[2]  
Ahmed BS, 2013, P ROMANIAN ACAD A, V14, P111
[3]  
[Anonymous], 2000, Applications of Fractional Calculus in Physics
[4]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[5]  
Beavers A. N., 1974, Mathematical Biosciences, V21, P143, DOI 10.1016/0025-5564(74)90111-4
[6]  
Bhrawy AH, 2013, ROM J PHYS, V58, P729
[7]   Topological solitons and cnoidal waves to a few nonlinear wave equations in theoretical physics [J].
Bhrawy, A. H. ;
Abdelkawy, M. A. ;
Biswas, A. .
INDIAN JOURNAL OF PHYSICS, 2013, 87 (11) :1125-1131
[8]   Integrable system modelling shallow water waves: Kaup-Boussinesq shallow water system [J].
Bhrawy, A. H. ;
Tharwat, M. M. ;
Abdelkawy, M. A. .
INDIAN JOURNAL OF PHYSICS, 2013, 87 (07) :665-671
[9]   Solitons and other solutions to quantum Zakharov-Kuznetsov equation in quantum magneto-plasmas [J].
Bhrawy, A. H. ;
Abdelkawy, M. A. ;
Kumar, S. ;
Johnson, S. ;
Biswas, A. .
INDIAN JOURNAL OF PHYSICS, 2013, 87 (05) :455-463
[10]   New Solutions for (1+1)-Dimensional and (2+1)-Dimensional Kaup-Kupershmidt Equations [J].
Bhrawy, A. H. ;
Biswas, Anjan ;
Javidi, M. ;
Ma, Wen Xiu ;
Pinar, Zehra ;
Yildirim, Ahmet .
RESULTS IN MATHEMATICS, 2013, 63 (1-2) :675-686