Fractional derivative-based performance analysis to Caudrey-Dodd-Gibbon-Sawada-Kotera equation
Fractional derivative-based performance analysis to Caudrey-Dodd-Gibbon-Sawada-Kotera equation
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DOI：
10.1016/j.rinp.2022.105356
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发表时间：
2022-03-18
影响因子：
5.3
通讯作者：
Rahman, Riaz Ur
中科院分区：
文献类型：
--
作者：
Jhangeer, Adil;Almusawa, Hassan;Rahman, Riaz Ur
研究了具有Beta和Atangana-Baleanu（AB）分数阶导数的分数阶Caudrey-Dodd-Gibbon-Sawada-Kotera（CDGSK）方程的新孤子解.利用新的辅助方程法（NAEM）求解了CDGSK方程的新的解析解。通过实施这些分数阶导数的解决方案进行了比较分析。分数阶参数的不同值对所得解的行为的影响也进行了探讨。检索到的解决方案的形状和动力学描绘采用3D和2D图形。这些新的孤立波解决方案，包括黑暗，明亮，周期性和奇异波的解决方案。解析解的计算结果表明，该方法是求解科学和工程领域中非线性模型精确行波解的一种有效的数学工具。
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.