Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
Rational solutions of a differential-difference KdV equation, the Toda equation and the discrete KdV equation
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DOI：
10.1088/0305-4470/28/17/029
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发表时间：
1995-09
期刊：
影响因子：
--
通讯作者：
Xing-Bao Hu;P. Clarkson
中科院分区：
文献类型：
--
作者：
Xing-Bao Hu;P. Clarkson
本文给出了KdV方程、户田方程和离散KdV方程的微分-差分模拟的一系列有理解。这些合理的解决方案，获得使用广田的双线性形式主义和Backlund变换。关键的一步是使用非线性叠加公式。
In this paper, a series of rational solutions are presented for a differential-difference analogue of the KdV equation, the Toda equation and the discrete KdV equation. These rational solutions are obtained using Hirota's bilinear formalism and Backlund transformations. The crucial step is the use of nonlinear superposition formulae.