Rational solutions of integrable equations via nonlinear superposition formulae

被引：15

作者：

Hu, XB ^{[1
]}

机构：

[1] ACAD SINICA,INST COMPUTAT MATH & SCI ENGN COMP,STATE KEY LAB SCI & ENGN COMP,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 23期

关键词：

D O I：

10.1088/0305-4470/30/23/020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a method is developed to obtain rational solutions of integrable equations which include KdV, Boussinesq, KP, Ito, (1 + 1)-dimensional CDGKS, Ramani and (2 + 1)-dimensional CDGKS equations. The key step that we use to find rational solutions of these equations is the use of nonlinear superposition formulae. Ail these rational solutions obtained for each equation are connected by a Backlund transformation, which enables us to find other new solutions through the nonlinear superposition of rational solutions and other known solutions.

引用

页码：8225 / 8240

页数：16

共 43 条

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