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This paper concentrates on the Heisenberg ferromagnetic spin chain (HFSC)equation in (2+1)-dimensions modelling nonlinear wave propagation inferromagnetic spin chain. A variable transformation is first employed to reducethe studied equation. And then an associated matrix Riemann-Hilbert problem isbuilt on the real line through analyzing spectral problem of the reducedequation. As a consequence, solving the obtained matrix Riemann-Hilbert problemwith the identity jump matrix, corresponding to the reflectionless, the generalmulti-soliton solutions to the HFSC equation in (2+1)-dimensions are acquired.Specially, the one- and two-soliton solutions are worked out and analyzedgraphically.

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