Abstract
In this paper, based on the variable coefficient Schrödinger 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 of the soliton and the influence of each variable coefficient on optical soliton amplitude are discussed. And we also give the parabolic, cubic and periodic solitons by changing the value of variable coefficient. The interaction of the 2-soliton solutions is discussed. These results are of great helpful for studying the optical communications in optical fiber.
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