Bilinear forms and solitons for a generalized sixth-order nonlinear Schrödinger equation in an optical fiber

Under investigation in this paper is a generalized sixth-order nonlinear Schrödinger equation, which could describe the attosecond pulses in an optical fiber. Bilinear forms and soliton solutions are derived via the Hirota method. Dynamic behaviors of the solitons are also analyzed. Moreover, we advance a new method, at the heart of which lies the idea that we simplify the limitation of the complex functions to the real ones, to demonstrate that the interaction between the two solitons is elastic and present the mathematical expression of velocity and phase shift of each soliton simultaneously.