Painleve Analysis and Darboux Transformation for a Variable-Coefficient Boussinesq System in Fluid Dynamics with Symbolic Computation

被引：0
作者：
Li Hong-Zhe [1 ]
Tian Bo [1 ,2 ,3 ]
Li Li-Li [1 ]
Zhang Hai-Qiang [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 100191, Peoples R China
[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Opt Commun & Lightwave Technol, Beijing 100876, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2010年 / 53卷 / 05期
基金：
中国国家自然科学基金;
关键词：
variable-coefficient Boussinesq system; Lax pair; Darboux transformation; soliton solutions; symbolic computation; TRAVELING-WAVE SOLUTIONS; EQUATIONS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The new soliton solutions for the variable-coefficient Boussinesq system, whose applications are seen in fluid dynamics, are studied in this paper with symbolic computation. First, the Pain love analysis is used to investigate its integrability properties. For the identified case we give, the Lax pair of the system is found, and then the Darboux transformation is constructed. At last, some new soliton solutions are presented via the Darboux method. Those solutions might be of some value in fluid dynamics.
引用
收藏
页码：831 / 836
页数：6
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