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.
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页码：266 / 268
页数：3
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