Integrability of the Kruskal-Zabusky Discrete Equation by Multiscale Expansion

被引：1

作者：

Levi, Decio ^{[1
]}

Scimiterna, Christian ^{[1
]}

机构：

[1] Univ Roma Tre, Dipartimento Ingn Elettron, I-00146 Rome, Italy

来源：

NONLINEAR AND MODERN MATHEMATICAL PHYSICS | 2010年 / 1212卷

关键词：

Fermi-Pasta-Ulam; Integrability; solitons; Multiscale expansions;

D O I：

10.1063/1.3367081

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In 1965 Kruskal and Zabusky in a very famous article in Physical Review Letters introduced the notion of "soliton" to describe the interaction of solitary waves solutions of the Korteweg de Vries equation (KdV). To do so they introduced a discrete approximation to the KdV, the Kruskal-Zabuslcy equation (KZ). Here we analize the KZ equation using the multiscale expansion and show that the equation is only A(2) integrable.

引用

页码：66 / 80

页数：15

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