标题： 关于广义非均匀非线性薛定谔方程的多孤子解在海森堡铁磁自旋链中的研究 显示英文标题

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

摘要： 一个广义的非均匀高阶非线性薛定谔（GIHNLS）方程在无限远处零边界条件下考虑了海森堡铁磁自旋链系统在(1+1)维的情况。首先进行谱分析，在实轴上生成相关的矩阵黎曼-希尔伯特问题。然后，通过将跳跃矩阵取为单位矩阵来求解得到的矩阵黎曼-希尔伯特问题，获得了GIHNLS方程的一般亮多孤子解。此外，通过图形给出了并分析了一孤子和二孤子解。 显示英文摘要

摘要： 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.