TITLE:
Traveling Wave Solution of the Modified Benjamin-Bona-Mahony Equation
AUTHORS:
Yin Zhu, Xiaohua Liu, Xue Huang, Feiyun Ye
KEYWORDS:
Modified Benjamin-Bona-Mahony Equation, Ansatze Method, Traveling Wave Solution, MATLAB
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.10,
October
27,
2022
ABSTRACT: In this paper, the ansatze method is implemented to study the exact solutions for the modified Benjamin-Bona-Mahony equation (mBBM). The singular-shaped traveling wave solution, the Bell-shape is traveling wave solution, the kink-shaped traveling wave solution and the periodic traveling wave solution is obtained. With the assist of computational software MATLAB, the graphical exemplifications of solutions are illustrated of the two-dimension (2D) and three-dimension (3D) plots.