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Bilinear forms and bright-dark solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber

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Abstract Optical fiber communication becomes one of the main pillars of modern communication. In this paper, we study a coupled nonlinear Schrodinger system with variable coefficients, which can describe the… Click to show full abstract

Abstract Optical fiber communication becomes one of the main pillars of modern communication. In this paper, we study a coupled nonlinear Schrodinger system with variable coefficients, which can describe the simultaneous propagation of the M-field components in an inhomogeneous optical fiber, where M is a positive integer. When M = 2 , the bilinear forms are constructed with the Hirota method and the N-bright-dark soliton solutions in terms of the Grammian can be obtained via the Kadomtsev-Petviashvili hierarchy reduction, where N is a positive integer. With the asymptotic analysis and graphic analysis, we find that the amplitudes of one-bright-dark solitons and the background in the dark components exhibit the periodic oscillations. Without the amplification/absorption effect, elastic interaction between the two-bright-dark solitons which keep both the amplitudes and the wave backgrounds invariant is demonstrated. Particularly, we find inelastic interaction between the two-bright-dark solitons, which possess the V-shape profiles in the zero background components and the Y-shape profiles in the periodic oscillating background components. The bound-state soliton under that inelastic condition is also shown. Besides, we present the bound-state bright-dark solitons with varying amplitudes. Furthermore, the analysis of the N-bright-dark soliton solutions are extended to those with M > 2, and as an example, inelastic interaction of the solitons with the case of M = 4 is presented.

Keywords: dark solitons; bright dark; system variable; coupled nonlinear; optical fiber

Journal Title: Chinese Journal of Physics
Year Published: 2019

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