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Bona, J.L. (1981) On Solitary Waves and Their Role in the Evolution of Long Waves. Applications of Nonlinear Analysis in the Physical Sciences, 183-205.

has been cited by the following article:

• 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.