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

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Abstract

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.

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Funding

This work is supported by the National Natural Science Foundation of China (Grant No. 61775126).

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  1. School of Physics and Electronic Engineering, Shanxi University, Taiyuan, 030006, China

    Zhou-Zheng Kang & Rong-Cao Yang

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  1. Zhou-Zheng Kang
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Kang, ZZ., Yang, RC. On multi-soliton solutions to a generalized inhomogeneous nonlinear Schrödinger equation for the Heisenberg ferromagnetic spin chain. Nonlinear Dyn 110, 3605–3615 (2022). https://doi.org/10.1007/s11071-022-07767-y

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