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On multi-soliton solutions to the Heisenberg ferromagnetic spin chain equation in (2+1)-dimensions
Zhou-Zheng Kang, Rong-Cao Yang
This paper concentrates on the Heisenberg ferromagnetic spin chain (HFSC) equation in (2+1)-dimensions modelling nonlinear wave propagation in ferromagnetic spin chain. A variable…
Riemann-Hilbert method for N-soliton solution of the coupled Hirota system in nonlinear fiber
Zhou-Zheng Kang, Tie-Cheng Xia
Under investigation in this work is the coupled Hirota system arising in nonlinear fiber. The spectral analysis of the Lax pair is first carried out and a Riemann-Hilbert problem i…
Riemann-Hilbert approach for multi-soliton solutions of a fifth-order nonlinear Schrodinger equation
Zhou-Zheng Kang, Tie-Cheng Xia, Xi Ma
A fifth-order nonlinear Schrodinger equation which describes one-dimensional anisotropic Heisenberg ferromagnetic spin chain is under exploration in this paper. Starting from the s…
Riemann-Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrodinger equation in an optical fiber
Zhou-Zheng Kang, Tie-Cheng Xia
This paper aims to present an application of Riemann-Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrodinger equation a…