Exact multi-wave solutions for the KdV equation

被引：7
|
作者：
Huang, Ying [1 ]
机构：
[1] Chuxiong Normal Univ, Dept Math, Chuxiong 675000, Peoples R China
来源：
NONLINEAR DYNAMICS | 2014年 / 77卷 / 03期
关键词：
KdV equation; Darboux transformation; Two-wave solution; Three-wave solution; DE-VRIES EQUATION; COMPLEXITON SOLUTIONS;
D O I：
10.1007/s11071-014-1307-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
By means of the known Darboux transformation, starting from some stationary wave solutions, we construct a large number of new explicit multiple waves solutions to the Korteweg-de Vries equation, including stationary periodic-soliton solutions, stationary soliton-periodic solutions, doubly periodic solutions, triply periodic solutions, as well as two- and three-soliton solutions.
引用
收藏
页码：437 / 444
页数：8
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