2004/08/12 by V. V. Makhro
Physics and Astronomy · Mathematics · #cond-mat.mes-hall #math-ph #math.MP #nlin.PS
published as V.V. Makhro, "A family of implicit finite-difference schemes with soliton-like solutions", Exponenta Pro. Mathematics in Applications (2004), no. 3-4, pp. 74-77 (in Russian) · 13 pages, 13 figures
arxiv created 2004/08/12 · arxiv updated 2009/12/01
We 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.