A three-wave interaction model with self-consistent sources: The (partial derivative)over-bar-dressing method and solutions

被引：24

作者：

Kuang, Yonghui ^{[1
]}

Zhu, Junyi ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 426卷 / 02期

基金：

中国国家自然科学基金;

关键词：

(partial derivative)over-bar-Dressing method; Three-wave interaction model; Self-consistent sources; Soliton solution; N-SOLITON SOLUTIONS; KDV EQUATION; SYMMETRY CONSTRAINTS; RESONANT INTERACTION; CONSTRUCTION; INTEGRATION; SCATTERING; SYSTEMS;

D O I：

10.1016/j.jmaa.2015.01.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we study the three-wave interaction model with self-consistent sources by virtue of the (partial derivative) over bar -dressing method. The explicit solutions, including one-soliton, two-soliton solution are obtained. In addition, on the basis of the three-wave interaction model with self-consistent sources, we obtain the generation of second harmonics with self-consistent sources. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：783 / 793

页数：11

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