Multi-solitons in the model of an inhomogeneous optical fiber

Abstract

This paper was concerned with the inhomogeneous optical fiber model, which was governed by a nonlinear Schrödinger equation with variable coefficients. By spectral analysis for Lax pair of the equation, a corresponding Riemann-Hilbert problem was formulated. By solving the Riemann-Hilbert problem with simple poles, the formula of multi-soliton solutions was derived. Finally, we considered a soliton control system and obtained the one-soliton and two-soliton.

Keywords

• nonlinear schrödinger equation
• soliton solutions
• riemann-hilbert problem
• soliton control
• optical fibers