On multi-soliton solutions to the Heisenberg ferromagnetic spin chain equation in (2+1)-dimensions
Mathematical Physics
2022-04-20 v1 math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2204.08679,
title = {On multi-soliton solutions to the Heisenberg ferromagnetic spin chain equation in (2+1)-dimensions},
author = {Zhou-Zheng Kang and Rong-Cao Yang},
journal= {arXiv preprint arXiv:2204.08679},
year = {2022}
}