New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

被引:211
作者
Baskonus, Haci Mehmet [1 ]
Bulut, Hasan [2 ]
Sulaiman, Tukur Abdulkadir [2 ,3 ]
机构
[1] Harran Univ, Dept Math & Sci Educ, Sanliurfa, Turkey
[2] Firat Univ, Dept Math, Elazig, Turkey
[3] Fed Univ Dutse, Dept Math, Jigawa, Nigeria
关键词
The sine-Gordon expansion method; the longren-wave equation; hyperbolic function solutions;
D O I
10.2478/AMNS.2019.1.00013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.
引用
收藏
页码:129 / 138
页数:10
相关论文
共 67 条
[1]   Comparison between the (G'/G) - expansion method and the modified extended tanh method [J].
Akcagil, Samil ;
Aydemir, Tugba .
OPEN PHYSICS, 2016, 14 (01) :88-94
[2]  
Akyildiz F. T., 2018, APPL MATH NONLIN SCI, V3, P255
[3]  
Al-Amr M.O., 2018, COMPUTER SCI INFORM, V8, P131
[4]   New exact traveling wave solutions of the (4+1)-dimensional Fokas equation [J].
Al-Amr, Mohammed O. ;
El-Ganaini, Shoukry .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 74 (06) :1274-1287
[5]   Exact solutions of the generalized (2+1)-dimensional nonlinear evolution equations via the modified simple equation method [J].
Al-Amr, Mohammed O. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 69 (05) :390-397
[6]  
Al-Sawoor A.J., 2013, INT J ENH RESEA SCI, V2, P135
[7]  
Al-Sawoor AJ., 2014, J EGYPT MATH SOC, V22, P396, DOI [10.1016/j.joems.2013.12.011, DOI 10.1016/J.JOEMS.2013.12.011]
[8]  
Al-Sawoor AJ., 2012, AL RAFIDAIN J COMPUT, V9, P243
[9]  
[Anonymous], 1984, INTRO THEORY WAVES
[10]   Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials [J].
Araci, Serkan ;
Ozer, Ozen .
ADVANCES IN DIFFERENCE EQUATIONS, 2015,