2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159367We discuss a phase transition of the second order taking place in non-local 1D Ising chains generated by specific infinite soliton solutions of the KdV and BKP equations.This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/Statistical MechanicsMathematical PhysicsExactly Solvable and Integrable Systemstext