Here, we study a relation between discrete and continuum models on an example of the sine-Gordon and Φ 4 equations. The analysis of various receptions of continualization in a linear case is carried out. The best approach allowing describing all spectrum of the discrete one-dimensional medium is chosen. Also, the nonlinear discrete sine-Gordon and Φ 4 models are analyzed. The possibility of improvement of the known continuum approximations of these equations is shown. © 2011 Springer Science+Business Media B.V.
CITATION STYLE
Andrianov, I. V., Kholod, E. G., & Weichert, D. (2012). Application of quasi-continuum models for perturbation analysis of discrete kinks. Nonlinear Dynamics, 68(1–2), 1–5. https://doi.org/10.1007/s11071-011-0198-9
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