On multi-soliton solutions to a generalized inhomogeneous nonlinear Schrodinger equation for the Heisenberg ferromagnetic spin chain

2022/05/03 by Zhou-Zheng Kang, Kang, Zhou-Zheng, Rongcao Yang +1
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2205.01318

openalex publication_date 2022/05/03 · openalex created_date 2023/02/12 · openalex updated_date 2026/07/28

Abstract

A generalized inhomogeneous higher-order nonlinear Schrodinger (GIHNLS) equation for the Heisenberg ferromagnetic spin chain system in (1+1)-dimensions under zero boundary condition at infinity is taken into account. The spectral analysis is first performed to generate a related matrix Riemann-Hilbert problem on the real axis. Then, through solving the resulting matrix Riemann-Hilbert problem by taking the jump matrix to be the identity matrix, the general bright multi-soliton solutions to the GIHNLS equation are attained. Furthermore, the one- and two-soliton solutions are written out and analyzed by figures.

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