New optical soliton solutions for the variable coefficients nonlinear Schrödinger equation

This paper is devoted to seek new optical soliton solutions of nonlinear Schrödinger equation (NLSE) with time-dependent coefficients which describes the dispersion decreasing fiber. To achieve NLSE, basic idea homogenous balance approach has been used propose Bernoulli $$(G'/G)$$ -expansion method, where $$G =G(\zeta )$$ satisfies equation, easier solve than previous studies. By applying some transformations and using this periodic wave, bright dark are successfully obtained. Moreover, 3D surfaces, standard deviation line plots contour maps graphs obtained results under effect different values illustrated have acceptable image dynamic structures find relation between parameters wave behaviors.