INTEGRABILITY OF DIFFERENTIAL-DIFFERENCE EQUATIONS WITH DISCRETE KINKS

被引：0

作者：

Scimiterna, C. ^{[1
,2
]}

Levi, D. ^{[1
,2
]}

机构：

[1] Univ Roma Tre, Dipartimento Ingn Elettron, Rome, Italy

[2] Ist Nazl Fis Nucl, Sez Roma Tre, Rome, Italy

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2011年 / 167卷 / 03期

关键词：

lattice equation; kink solution; multiscale expansion; integrable equation; DOMAIN-WALLS; DYNAMICS; CHAIN; MODEL; REDUCTION; SYSTEM;

D O I：

10.1007/s11232-011-0066-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a series of models introduced by Barashenkov, Oxtoby, and Pelinovsky to describe some discrete approximations of the phi(4) theory that preserve traveling kink solutions. Using the multiple scale test, we show that they have some integrability properties because they pass the A(1) and A(2) conditions, but they are nonintegrable because they fail the A(3) conditions.

引用

页码：826 / 842

页数：17

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