Soliton solutions in the class of implicit difference schemes

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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.
13 pages, 13 figures

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Mesoscale and Nanoscale Physics, Mathematical Physics, Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/24617

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0408271
 http://arxiv.org/abs/cond-mat/0408271
 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)

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arXiv