Fractional derivative-based performance analysis to Caudrey-Dodd-Gibbon-Sawada-Kotera equation

被引：20

作者：

Jhangeer, Adil ^{[1
]}

Almusawa, Hassan ^{[2
]}

Rahman, Riaz Ur ^{[3
]}

机构：

[1] Namal Univ, Dept Math, Mianwali 42250, Pakistan

[2] Jazan Univ, Coll Sci, Dept Math, Jazan 45142, Saudi Arabia

[3] Univ Punjab, Dept Math, Quaid E Azam Campus, Lahore, Pakistan

来源：

RESULTS IN PHYSICS | 2022年 / 36卷

关键词：

Traveling wave solutions; Fractional; Caudrey-Dodd-Gibbon-Sawada-Kotera; equation; Beta fractional derivative; Atangana-Baleanu fractional derivative; New auxiliary equation method; TRAVELING-WAVE SOLUTIONS; SOLITONS;

D O I：

10.1016/j.rinp.2022.105356

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper explores the innovative soliton solutions to the fractional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation with Beta and Atangana-Baleanu (AB) fractional derivatives. The new auxiliary equation method (NAEM) is used to extricate novel analytical solutions to the CDGSK equation. A comparative analysis of the solutions is conducted by implementing these fractional derivatives. The impact of different values of fractional parameter on the behavior of obtained solutions is also explored. The shapes and dynamics of the retrieved solutions are portrayed employing 3D and 2D graphs. These new solitary wave solutions are shown to encompass dark, bright, periodic, and singular wave solutions. Analytical solutions expound that this method is an effective mathematical tool to find exact traveling wave solutions to nonlinear models found in several fields of science and engineering.

引用

页数：10

共 45 条

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