Exact Solutions of the Nonlinear Modified Benjamin-Bona-Mahony Equation by an Analytical Method

被引：9
|
作者：
Alotaibi, Trad [1 ]
Althobaiti, Ali [1 ]
机构：
[1] Taif Univ, Dept Math, Taif 21944, Saudi Arabia
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 07期
关键词：
the BBM equation; exact solution; the extended auxiliary equation method; SOLITON-SOLUTIONS;
D O I：
10.3390/fractalfract6070399
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The current manuscript investigates the exact solutions of the modified Benjamin-Bona-Mahony (BBM) equation. Due to its efficiency and simplicity, the modified auxiliary equation method is adopted to solve the problem under consideration. As a result, a variety of the exact wave solutions of the modified BBM equation are obtained. Furthermore, the findings of the current study remain strong since Jacobi function solutions generate hyperbolic function solutions and trigonometric function solutions, as liming cases of interest. Some of the obtained solutions are illustrated graphically using appropriate values for the parameters.
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页数：11
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