Application of quasi-continuum models for perturbation analysis of discrete kinks

被引：3
|
作者：
Andrianov, Igor V. [1 ]
Kholod, Elena G. [2 ]
Weichert, Dieter [1 ]
机构：
[1] Univ Aachen, RWTH, Dept Gen Mech, D-52062 Aachen, Germany
[2] Dnipropetrovsk Univ Econ & Law, Dept Higher Math, UA-49000 Dnepropetrovsk, Ukraine
来源：
NONLINEAR DYNAMICS | 2012年 / 68卷 / 1-2期
关键词：
Kink; Improved continuum model; Sine-Gordon equation; Phi(4) model; Pade approximants; SOLITONS;
D O I：
10.1007/s11071-011-0198-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Here, we study a relation between discrete and continuum models on an example of the sine-Gordon and Phi(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 Phi(4) models are analyzed. The possibility of improvement of the known continuum approximations of these equations is shown.
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页码：1 / 5
页数：5
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