New soliton solutions of the nonlinear Radhakrishnan-Kundu-Lakshmanan equation with the beta-derivative

In this paper, the modified exponential function method is applied to find exact solutions of Radhakrishnan-Kundu-Lakshmanan equation with Atangana’s conformable beta-derivative. For this, definition beta derivative proposed by Atangana and properties are firstly given. Then, nonlinear which can be stated beta-derivative obtained using presented method. related problem in two solution cases obtained, each case five different families. The found as a result application seem 1-soliton solutions, dark soliton periodic rational solutions. According results, it said that has kinds Also, three-dimensional contour density graphs two-dimensional drawn parameters given these new These give detailed informations about physical behavior real imaginary parts obtained.