English

Soliton solutions in the class of implicit difference schemes

Mesoscale and Nanoscale Physics 2007-05-23 v1 Mathematical Physics math.MP Pattern Formation and Solitons

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/0408271,
  title  = {Soliton solutions in the class of implicit difference schemes},
  author = {V. V. Makhro},
  journal= {arXiv preprint arXiv:cond-mat/0408271},
  year   = {2007}
}

Comments

13 pages, 13 figures

R2 v1 2026-07-22T11:06:43.254Z