2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106468A XY Heisenberg spin chain model with two perpendicular spins par site is mapped onto a Kirchhoff thin elastic rod. It is shown that in the case of constant curvature the Euler--Lagrange equation leads to the static sine-Gordon equation. The kink-antikink type and periodical static solutions for these models are derived.6 pages, 1 figure, IOP styleExactly Solvable and Integrable SystemsPattern Formation and Solitonstext