2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/24617We announce a detailed numerical investigation for some class of difference schemes, which arises from Euler implicit scheme. Such schemes demonstrate unusual behavior and leads to origin of solitons. Applications to some nonlinear problems are discussed.13 pages, 13 figuresMesoscale and Nanoscale PhysicsMathematical PhysicsPattern Formation and Solitonstext