Integrability of differential-difference equations with discrete kinks

被引：0

作者：

C. Scimiterna

D. Levi

机构：

[1] Università di Roma Tre and INFN,Dipartimento di Ingegneria Elettronica

来源：

Theoretical and Mathematical Physics | 2011年 / 167卷

关键词：

lattice equation; kink solution; multiscale expansion; integrable equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We discuss a series of models introduced by Barashenkov, Oxtoby, and Pelinovsky to describe some discrete approximations of the Φ4 theory that preserve traveling kink solutions. Using the multiple scale test, we show that they have some integrability properties because they pass the A1 and A2 conditions, but they are nonintegrable because they fail the A3 conditions.

引用

页码：826 / 842

页数：16

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