Solitary Wave Solutions of the Modified Sasa - Satsuma Nonlinear Partial Differential Equation

Abstract

In this paper, we propose an easy and efficient way to analytically construct the solitary wave solutions of the modified Sasa-Satsuma equation. This approach called Bogning-DjeumenTchaho-Kofane method is based on the good management of the properties of the hyperbolic functions. First, we consider a shape of solution to construct as a combination of the functions of type solitary wave whose coefficients must be determined according to the parameter of the studied system. Thereafter, we obtain the equations of ranges of coefficients whose resolutions allow determining the values of the coefficients and in occurrence the solutions of the nonlinear partial differential equation.