Comments: 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/
We 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.
@article{arxiv.0704.3173,
title = {A Critical Phenomenon in Solitonic Ising Chains},
author = {Igor M. Loutsenko and Vyacheslav P. Spiridonov},
journal= {arXiv preprint arXiv:0704.3173},
year = {2008}
}