A New Solution to the Hirota-Satsuma Coupled KdV Equations by the Dressing Method

被引：2

作者：

Zhu Jun-Yi ^{[1
]}

Zhou De-Wen ^{[2
]}

Yang Juan-Juan ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

[2] Zhongyuan Univ Technol, Coll Sci, Zhengzhou 451191, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 60卷 / 03期

基金：

中国国家自然科学基金;

关键词：

dressing method; Hirota-Satsuma coupled KdV equation; exact solution; EXPLICIT SOLUTIONS; SOLITON-SOLUTIONS; HIERARCHY;

D O I：

10.1088/0253-6102/60/3/02

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Hirota-Satsuma coupled KdV equations associated 2 x 2 matrix spectral problem is discussed by the dressing method, which is based on the factorization of integral operator on a line into a product of two Volterra integral operators. A new solution is obtained by choosing special kernel of integral operator.

引用

页码：266 / 268

页数：3

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