Abundant closed-form solitons for time-fractional integro-differential equation in fluid dynamics

被引：46
作者：
Az-Zo'bi, Emad A. [1 ]
AlZoubi, Wael A. [2 ]
Akinyemi, Lanre [3 ]
Senol, Mehmet [4 ]
Alsaraireh, Islam W. [5 ,6 ]
Mamat, Mustafa [5 ]
机构：
[1] Mutah Univ, Dept Math & Stat, Fac Sci, Mutah, Jordan
[2] Balqa Appl Univ, Ajloun Univ Coll, Dept Comp Sci, Salt, Jordan
[3] Prairie View A&M Univ, Dept Math, Prairie View, TX 77446 USA
[4] Nevsehir Haci Bektas Veli Univ, Dept Math, Nevsehir, Turkey
[5] Univ Sultan Zainal Abidin UniSZA, Fac Informat & Comp, Kuala Terengganu, Malaysia
[6] Saudi Elect Univ, Preparetory Year, Abha, Saudi Arabia
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2021年 / 53卷 / 03期
关键词：
Soliton solutions; Simple equation method; Conformable fractional derivative; Nonlinear dynamics; Ito equation;
D O I：
10.1007/s11082-021-02782-6
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, with the aid of the Mathematica package, several classes of exact analytical solutions for the time-fractional (2 + 1)-dimensional Ito equation are obtained. To analytically tackle the above equation, the Kudryashov simple equation approach and its modified form are applied. Rational, exponential-rational, periodic, and hyperbolic functions with a number of free parameters were represented by the obtained soliton solutions. Graphical illustrations with special choices of free constants and different fractional orders are included for certain acquired solutions. Both approaches include the efficiency, applicability and easy handling of the solution mechanism for nonlinear evolution equations that occur in the various real-life problems.
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页数：16
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