Abstract
The Fokas-Lenells (FL) equation describes the propagation of ultra-short pulse in optical fiber. In this paper, optical soliton solutions are obtained through Hirota bilinear method, and the asymptotic behavior analysis and graphical simulation are given to reveal the propagation and dynamical behavior. It's worth noting that novel dynamic characteristics have been found with different choices of the wave numbers in the two-soliton and three-soliton solutions, which present different dynamical behavior from the general case. Moreover, some figures are given to better illustrate the dynamic characteristics.
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