Analytic study on interactions between periodic solitons with controllable parameters

Soliton interactions occur when two solitons are close enough. In general, periodic oscillations can be presented during soliton interactions. The periodic oscillations will lead to the soliton distortion, which is necessary to carry out the effective control. In this paper, interactions between periodic solitons with controllable parameters are investigated analytically. One- and two-soliton solutions for the nonlinear Schrödinger equation are derived by using the Hirota’s bilinear method. According to analytic solutions, the influences of each parameter on period interactions between solitons are discussed, and the method of how to control the cycle of interactions is suggested. Results in this paper can be used for the theoretical guidance of how to make the soliton transmission more efficient and more fidelity, and are of great significance for optical fiber communications.