Multi-solitons in the model of an inhomogeneous optical fiber

• DOI: 10.3934/math.20241691
• Publication Date: 2024-12-23T11:05:45Z
• Authors: Jinfang Li; Chunjiang Wang; Li Zhang; Jian Zhang
• Keywords: Lax pair

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