New Travelling Wave Solutions for KdV6 Equation Using Sub Equation Method

被引:62
作者
Durur, Hulya [1 ]
Kurt, Ali [2 ]
Tasbozan, Orkun [3 ]
机构
[1] Ardahan Univ, Fac Engn, Dept Comp Engn, Ardahan, Turkey
[2] Pamukkale Univ, Fac Sci & Art, Dept Math, Denizli, Turkey
[3] Mustafa Kemal Univ, Fac Sci & Art, Dept Math, Antakya, Turkey
关键词
Conformable fractional derivative; Sub-Equation method; KdV6; equation; Wave Solution; SOLITON;
D O I
10.2478/AMNS.2020.1.00043
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are considered in conformable sense. Conformable derivative is an understandable and applicable type of fractional derivative that satisfies almost all the basic properties of Newtonian classical derivative such as Leibniz rule, chain rule and etc. Also conformable derivative has some superiority over other popular fractional derivatives such as Caputo and Riemann-Liouville. In this paper all the computations are carried out by computer software called Mathematica.
引用
收藏
页码:455 / 460
页数:6
相关论文
共 17 条
[1]   On conformable fractional calculus [J].
Abdeljawad, Thabet .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 :57-66
[2]  
[Anonymous], 2017, Int. J. Appl. Math. Res., DOI [10.14419/ijamr.v6i2.7014, DOI 10.14419/IJAMR.V6I2.7014]
[3]   New Fractional Complex Transform for Conformable Fractional Partial Differential Equations [J].
Cenesiz, Y. ;
Kurt, A. .
JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2016, 12 (02) :41-47
[4]  
Epstein, 2017, PARTIAL DIFFERENTIAL, P25, DOI [10.1007/978-3-319-55212-5_2, DOI 10.1007/978-3-319-55212-5_2]
[5]  
Geroch R, 2017, GEN RELATIVITY, P19
[6]   PARTIAL-DIFFERENTIAL EQUATIONS IN ECOLOGY - SPATIAL INTERACTIONS AND POPULATION-DYNAMICS [J].
HOLMES, EE ;
LEWIS, MA ;
BANKS, JE ;
VEIT, RR .
ECOLOGY, 1994, 75 (01) :17-29
[7]   Solutions of local fractional sine-Gordon equations [J].
Karayer, H. ;
Demirhan, D. ;
Buyukkilic, F. .
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (02) :227-235
[8]   A new definition of fractional derivative [J].
Khalil, R. ;
Al Horani, M. ;
Yousef, A. ;
Sababheh, M. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 264 :65-70
[9]   SOLITARY WAVE SOLUTIONS OF NONLINEAR-WAVE EQUATIONS [J].
MALFLIET, W .
AMERICAN JOURNAL OF PHYSICS, 1992, 60 (07) :650-654
[10]   Optical soliton for perturbed nonlinear fractional Schrodinger equation by extended trial function method [J].
Nawaz, Badar ;
Rizvi, Syed Tahir Raza ;
Ali, Kashif ;
Younis, Muhammad .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (05)