Interactions between butterfly-shaped pulses in the inhomogeneous media

• Interactions between butterfly-shaped pulses are investigated.
• Methods to control the pulse interactions are suggested.
• Analytic two-soliton solutions for butterfly-shaped pulses are derived.

Pulse interactions affect pulse qualities during the propagation. Interactions between butterfly-shaped pulses are investigated to improve pulse qualities in the inhomogeneous media. In order to describe the interactions between butterfly-shaped pulses, analytic two-soliton solutions are derived. Based on those solutions, influences of corresponding parameters on pulse interactions are discussed. Methods to control the pulse interactions are suggested.