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arXiv · 2204.08679

On multi-soliton solutions to the Heisenberg ferromagnetic spin chain equation in (2+1)-dimensions

Zhou-Zheng Kang·Rong-Cao Yang
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Abstract

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 transformation is first employed to reduce the studied equation. And then an associated matrix Riemann-Hilbert problem is built on the real line through analyzing spectral problem of the reduced equation. As a consequence, solving the obtained matrix Riemann-Hilbert problem with the identity jump matrix, corresponding to the reflectionless, the general multi-soliton solutions to the HFSC equation in (2+1)-dimensions are acquired. Specially, the one- and two-soliton solutions are worked out and analyzed graphically.

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Zhou-Zheng Kang, Rong-Cao Yang. 2022-04-19. On multi-soliton solutions to the Heisenberg ferromagnetic spin chain equation in (2+1)-dimensions. https://arxiv.org/abs/2204.08679

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