SOLVING THE BENJAMIN-BON-MAHONEY EQUATION IN A SPECIAL CASE BY NUMERICAL METHODS

The Benjamin-Bon-Mahoney equation is the most common equation in scientific research. This equation is often used in hydrodynamics, nonlinear optics, and acoustics, because the equation is nonlinear, so its analytical solution is very difficult. The equation is widely used in studying the speed of Internet technologies, studying the occurrence and determining the directions of tsunamis. To solve this problem, we will have to use numerical methods. The use of numerical methods is increasing day by day with the development of computer technology. Since such tasks can be viewed on images using special programs. In this article, we solved a differential equation in the Python programming language using the Google Co lab service. A specific example was considered in the article, and the results are clearly illustrated by the description.