Exact traveling wave solutions of the stochastic Wick-type fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation

被引：5

作者：

Choi, Jin Hyuk ^{[1
]}

Kim, Hyunsoo ^{[2
]}

机构：

[1] Kyung Hee Univ, Humanitas Coll, Yongin 17104, South Korea

[2] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

CDGSK equation; Painleve test; Hermite transformatiom; conformable fractional derivative; sub-equations method; ORDINARY DIFFERENTIAL-EQUATIONS; NONLINEAR EVOLUTION-EQUATIONS; LIE SYMMETRY ANALYSIS; CONSERVATION-LAWS; SYSTEM; CONNECTION;

D O I：

10.3934/math.2021240

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we test the intgrability of the stochastic Wick-type fractional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation on the Painleve test and construct new Wick-type and nob-Wick-type versions of exact traveling wave solutions of the stochastic Wick-type fractional CDGSK equation by employing the Hermit transformation, the conformable fractional derivative and the sub-equations method. Moreover, we obtain exact traveling wave solutions of the fractional Sawada-Kotera (SK) equation and the fractional Caudrey-Dodd-Gibbon (CDG) equation as well. It is note that physical illustration may be useful to predict internal structure of the considered equations. The results confirm that sub-equations method is very effective and efficient to find exact traveling wave solutions of Wick-type fractional nonlinear evolution equations.

引用

页码：4053 / 4072

页数：20

共 39 条

[1]

Ablowitz M. J., 1996, LONDON MATH SOC LECT, V149, P512

[2] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .2. [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (05) :1006-1015

[3] A CONNECTION BETWEEN NON-LINEAR EVOLUTION-EQUATIONS AND ORDINARY DIFFERENTIAL-EQUATIONS OF P-TYPE .1. [J].

ABLOWITZ, MJ ;

RAMANI, A ;

SEGUR, H .

JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (04) :715-721

[4] On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. ;

Alsaedi, Ahmed .

CHAOS SOLITONS & FRACTALS, 2016, 83 :234-241

[5] SOLITONS AND DISCRETE EIGENFUNCTIONS OF THE RECURSION OPERATOR OF NONLINEAR EVOLUTION-EQUATIONS .1. THE CAUDREY-DODD-GIBBON-SAWADA-KOTERA EQUATION [J].

AIYER, RN ;

FUCHSSTEINER, B ;

OEVEL, W .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (18) :3755-3770

[6]

Alvaro H S., 2011, Int. J. Phys. Sci, V6, P7729

[7]

[Anonymous], 2010, Stochastic partial differential equations, DOI DOI 10.1007/978-0-387-89488-1

[8] Exact Traveling Wave Solutions of a Fractional Sawada-Kotera Equation [J].

Arshad, Muhammad ;

Lu, Dianchen ;

Wang, Jun ;

Abdullah .

EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 8 (02) :211-223

[9]

Atangana A., 2016, ENTROPHY, V18

[10]

Atangana A., 2014, MATH PROBL ENG, V2014, DOI DOI 10.1155/2014/107535

← 1 2 3 4 →