Applied Mathematics Letters ( IF 3.848 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.aml.2020.106656 Xiu-Bin Wang; Bo Han
In this paper, we study the higher-order generalized nonlinear Schrödinger equation describing the propagation of ultrashort optical pulse in optical fibres. The Hirota’s bilinear method is employed to succinctly derive one-soliton and two-soliton solutions of the equation. Furthermore, the main characteristics of these solutions are graphically demonstrated. In particular, the influences of each parameters on period interactions between solitons are discussed in detail, and the approach of how to control the cycle of interactions are analyzed.