Analysis of Kink Behaviour of KdV-mKdV Equation under Caputo Fractional Operator with Non-Singular Kernel

被引：5
|
作者：
Ali, Sajjad [1 ]
Ullah, Aman [1 ]
Ahmad, Shabir [1 ]
Nonlaopon, Kamsing [2 ]
Akgul, Ali [3 ,4 ]
机构：
[1] Univ Malakand, Dept Math, Chakdara 18800, Khyber Pakhtunk, Pakistan
[2] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey
[4] Near East Univ, Math Res Ctr, Dept Math, Near East Blvd, TR-99138 Nicosia, Turkey
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 11期
关键词：
modified KdV equation; kink solution; Caputo operator; stability; SOLITARY WAVES;
D O I：
10.3390/sym14112316
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The KdV equation has many applications in mechanics and wave dynamics. Therefore, researchers are carrying out work to develop and analyze modified and generalized forms of the standard KdV equation. In this paper, we inspect the KdV-mKdV equation, which is a modified and generalized form of the ordinary KdV equation. We use the fractional operator in the Caputo sense to analyze the equation. We examine some theoretical results concerned with the solution's existence, uniqueness, and stability. We employ a modified Laplace method to extract the numerical results of the considered equation. We use MATLAB-2020 to simulate the results in a few fractional orders. We report the effects of the fractional order on the wave dynamics of the proposed equation.
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收藏
页数：17
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