Study on Date-Jimbo-Kashiwara-Miwa Equation with Conformable Derivative Dependent on Time Parameter to Find the Exact Dynamic Wave Solutions

被引：181

作者：

Iqbal, Md Ashik ^{[1
]}

Wang, Ye ^{[2
,3
]}

Miah, Md Mamun ^{[4
]}

Osman, Mohamed S. ^{[5
]}

机构：

[1] Bangladesh Army Univ Engn & Technol, Dept Math, Natore 6431, Bangladesh

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[3] Hangzhou Normal Univ, Inst Adv Study Honoring Chen Jian Gong, Hangzhou 311121, Peoples R China

[4] Khulna Univ Engn & Technol, Dept Math, Khulna 9203, Bangladesh

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

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 01期

关键词：

two-variable (G39; /G; 1/G)-expansion method; conformable Date-Jimbo-Kashiwara-Miwa equation; exact dynamical wave solutions; ELLIPTIC FUNCTION SOLUTIONS; TANH-FUNCTION METHOD; EXP-FUNCTION METHOD; (G'/G)-EXPANSION METHOD; 1/G)-EXPANSION METHOD; (G'/G;

D O I：

10.3390/fractalfract6010004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we construct the exact dynamical wave solutions to the Date-Jimbo-Kashiwara-Miwa equation with conformable derivative by using an efficient and well-established approach, namely: the two-variable G'/G, 1/G-expansion method. The solutions of the Date-Jimbo-Kashiwara-Miwa equation with conformable derivative play a vital role in many scientific occurrences. The regular dynamical wave solutions of the abovementioned equation imply three different fundamental functions, which are the trigonometric function, the hyperbolic function, and the rational function. These solutions are classified graphically into three categories, such as singular periodic solitary, kink soliton, and anti-kink soliton wave solutions. Furthermore, the effect of the fractional parameter on these solutions is discussed through 2D plots.

引用

页数：12

共 48 条

[1] Dynamic of DNA's possible impact on its damage [J].

Abdel-Gawad, H. I. ;

Tantawy, M. ;

Osman, M. S. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (02) :168-176

[2] On shallow water waves in a medium with time-dependent dispersion and nonlinearity coefficients [J].

Abdel-Gawad, Hamdy I. ;

Osman, Mohamed .

JOURNAL OF ADVANCED RESEARCH, 2015, 6 (04) :593-599

[3] On the Variational Approach for Analyzing the Stability of Solutions of Evolution Equations [J].

Abdel-Gawad, Hamdy I. ;

Osman, M. S. .

KYUNGPOOK MATHEMATICAL JOURNAL, 2013, 53 (04) :661-680

[4] Analytical and numerical study of the HIV-1 infection of CD4+ T-cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy [J].

Ali, Khalid K. ;

Osman, Mohamed S. ;

Baskonus, Haci Mehmet ;

Elazabb, Nasser S. ;

Ilhan, Esin .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (07) :7654-7670

[5] Analytical and numerical treatment to the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation [J].

Ali, Khalid K. ;

Mehanna, Mona S. ;

Wazwaz, Abdul-Majid .

NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2021, 10 (01) :187-200

[6] New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method [J].

Ali, Khalid K. ;

Osman, M. S. ;

Abdel-Aty, Mahmoud .

ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (03) :1191-1196

[7]

Ali MN., 2019, SeMA J, V76, P15, DOI DOI 10.1007/S40324-018-0152-6

[8]

Attia R., 2020, Math. Model. Eng. Probl., V7, P242, DOI [10.18280/mmep.070210, DOI 10.18280/MMEP.070210]

[9] Application of the Exp-function method for nonlinear differential-difference equations [J].

Bekir, Ahmet .

APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (11) :4049-4053

[10] Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation [J].

Chen, Y ;

Wang, Q .

CHAOS SOLITONS & FRACTALS, 2005, 24 (03) :745-757

← 1 2 3 4 5 →