Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations

被引：91

作者：

Park, Choonkil ^{[1
]}

Nuruddeen, R., I ^{[2
]}

Ali, Khalid K. ^{[3
]}

Muhammad, Lawal ^{[4
]}

Osman, M. S. ^{[5
,6
]}

Baleanu, Dumitru ^{[7
,8
]}

机构：

[1] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

[2] Fed Univ Dutse, Fac Sci, Dept Math, Dutse, Jigawa State, Nigeria

[3] Al Azhar Univ, Fac Sci, Math Dept, Cairo, Egypt

[4] Yusuf Maitama Sule Univ, Fac Sci, Dept Math, Kano, Kano State, Nigeria

[5] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt

[6] Umm Alqura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia

[7] Cankaya Univ, Dept Math, Ogretmenler Cad 1406530, Ankara, Turkey

[8] Inst Space Sci, Bucharest, Romania

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Fractional derivative; Fifth-order KdV equations; Hyperbolic wave solutions; Exponential wave solutions; Solitary wave solutions; SOLITARY WAVE SOLUTIONS; FOKAS-LENELLS EQUATION; KDV EQUATION; SOLITONS; VARIETY; PHYSICS; PLASMA;

D O I：

10.1186/s13662-020-03087-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to investigate the class of fifth-order Korteweg-de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractional order derivative defined in the conformable fractional derivative sense. We realize various solitons and solutions of these equations. The fractional behavior of the solutions is studied comprehensively by using 2D and 3D graphs. The results demonstrate that the methods mentioned here are more effective in solving problems in mathematical physics and other branches of science.

引用

页数：12

共 61 条

[1] Exact solutions of the Korteweg-de Vries equation with space and time dependent coefficients by the extended unified method [J].