Discrete and ultradiscrete Backlund transformation for KdV equation

被引：3

作者：

Isojima, S. ^{[1
]}

Kubo, S. ^{[2
]}

Murata, M. ^{[1
]}

Satsuma, J. ^{[1
]}

机构：

[1] Aoyama Gakuin Univ, Dept Math & Phys, Sagamihara, Kanagawa 2298558, Japan

[2] Cabinet Off Govt Japan, Publ Relat Off, Chiyoda Ku, Tokyo 1008914, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2008年 / 41卷 / 02期

关键词：

D O I：

10.1088/1751-8113/41/2/025205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Backlund transformation for the discrete Korteweg-de Vries equation is introduced in the bilinear form. The superposition formula is also derived from the transformation. An ultradiscrete analogue of the transformation is presented by means of the ultradiscretization technique. This analogue gives the Backlund transformation for the box and ball system. The ultradiscrete soliton solutions for the system are also discussed with explicit examples.

引用

页数：8

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