Periodic and N-kink-like optical solitons for a generalized Schrodinger equation with variable coefficients in an inhomogeneous fiber system

A generalized Schrodinger equation in an inhomogeneous which is with variable gain coefficient, variable dispersion coefficient. Analytical soliton solution and its compatible auxiliary equation method. Through setting the dispersion iodic, doubly periodic, and N-kink-like solitons are excited optical fiber system is investigated, coefficient and variable nonlinearity condition are derived by using the function and gain function, the per and observed.