Darboux transformation and new solutions for the Whitham-Broer-Kaup equations

被引：24

作者：

Li, Hong-Zhe ^{[1
]}

Tian, Bo ^{[1
,2
,3
]}

Li, Li-Li ^{[1
]}

Zhang, Hai-Qiang ^{[1
]}

Xu, Tao ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100083, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Opt Commun & Lightwave Technol, Beijing 100876, Peoples R China

来源：

PHYSICA SCRIPTA | 2008年 / 78卷 / 06期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1088/0031-8949/78/06/065001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we derive the Lax pair associated with the Whitham-Broer-Kaup equations. Based on the Lax pair obtained, we construct the Darboux transformation with multi-parameters and obtain the one-and multi-soliton solutions. In addition, we qualitatively analyze various types of interaction behavior between two solitary waves along with graphical demonstration, in order to provide valuable information on the shallow water motion.

引用

页数：7

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