• DOI:10.1007/s11071-022-07767-y
• Corpus ID: 248505957

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

@article{Kang2022OnMS,
  title={On multi-soliton solutions to a generalized inhomogeneous nonlinear Schr{\"o}dinger equation for the Heisenberg ferromagnetic spin chain},
  author={Zhou-Zheng Kang and Ronghua Yang},
  journal={Nonlinear Dynamics},
  year={2022},
  volume={110},
  pages={3605 - 3615}
}

• Zhou-Zheng Kang, Ronghua Yang
• Published 3 May 2022
• Mathematics, Physics
• Nonlinear Dynamics

A generalized inhomogeneous higher-order nonlinear Schrödinger (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-, two-, and three-soliton solutions are written out and analyzed by figures.