Abundant exact solutions for a strong dispersion-managed system equation

The generalized nonlinear Schro¨dinger equation(NLSE),which governs the dynamics of dispersion-managed(DM) solitons,is considered.A novel transformation is constructed such that the DM fibre system equation with optical loss(gain) is transformed to the standard NLSE under a restricted condition.Abundant new soliton and periodic wave solutions are obtained by using the transformation and the solutions of standard NLSE.Further,we discuss their main properties and the interaction scenario between two neighbouring solitons by using direct computer simulation.