The interaction of soliton solutions for a variable coefficient nonlinear Schro•dinger equation

In this paper, based on the variable coefficient Schro center dot dinger equation, which describes the optical fiber system or the Rossby waves, we first utilize the Hirota bilinear method to obtain the one-soliton and two-soliton solutions. Based on these soliton solutions, the propagation direction the soliton and the influence of each variable coefficient on optical soliton amplitude are dis-cussed. And we also give the parabolic, cubic and periodic solitons by changing the value variable coefficient. The interaction of the 2-soliton solutions is discussed. These results are great helpful for studying the optical communications in optical fiber.