Explicit variational solution of the cubic-quintic nonlinear Schrodinger equation for pulse propagation in optical fibers

With a variational method, we study the cubic-quintic nonlinear Schrodinger equation for pulse propagation in optical fibers. Anomalous dispersion tha t gives rise to fundamental bright solitary waves is considered. It is show n that within the specified limits, the present variational model demonstra tes (for 1 picosecond pulse) good agreements with its analytical equivalent . It is proved that for negative coefficient of the fifth-order nonlinearit y existence of the two-state solitary wave solution is a peculiarity of the variational formulation.