[1]李金伟,张金顺.高阶Boussinesq-Burgers方程的Painlevé测试及其精确解[J].华侨大学学报(自然科学版),2010,31(2):227-229.[doi:10.11830/ISSN.1000-5013.2010.02.0227]
　LI Jin-wei,ZHANG Jin-shun.Painlevé Test and Exact Solutions for Higher Order Boussinesq-Burgers Equation[J].Journal of Huaqiao University(Natural Science),2010,31(2):227-229.[doi:10.11830/ISSN.1000-5013.2010.02.0227]
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高阶Boussinesq-Burgers方程的Painlevé测试及其精确解()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第31卷
期数:
2010年第2期
页码:
227-229
栏目:
出版日期:
2010-03-20

文章信息/Info

Title:
Painlevé Test and Exact Solutions for Higher Order Boussinesq-Burgers Equation
文章编号:
1000-5013(2010)02-0227-03
作者:
李金伟; 张金顺
华侨大学数学科学学院
Author(s):
LI Jin-wei;  ZHANG Jin-shun
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
Painlevé测试;  高阶Boussinesq-Burgers方程;  调谐因子;  Backlund-Darboux变换;  孤立子解
Keywords:
Painlevé test;  higher Boussinesq-Burgers equation;  resonances;  backlund-darboux transformation;  solitonian solution
分类号:
O175.29
DOI:
10.11830/ISSN.1000-5013.2010.02.0227
文献标志码:
A
摘要:
应用Painlevé测试方法,研究高阶Boussinesq-Burgers方程,证明该方程是Painlevé完全可积的.利用Painlevé分析,得到该方程的自Backlund-Darboux变换和一些精确解.
Abstract:
The Painlevé test method is used to higher order Boussinesq-Burgers equation.The integrability of the equation is proved.A Backlund-Darboux transformation and exact solutions are obtained for the equation.

参考文献/References:

[1] WEISS J. On classes of integrable system and the Painlevé property [J]. Journal of Mathematical Physics, 1984(1):13-14.
[2] CONTE R, FORDY A P, PICKERING A. A perturbative Painlevé approach to nonlinear differential equations [J]. Physical Review D, 1993, (1/2):33-58.
[3] CLARKSON P A. Painlevé equations-nonlinear special functions [J]. Journal of Computational and Applied Mathematics, 2003, (1/2):127-140.doi:10.1016/S0377-0427(02)00589-7.
[4] ZHANG Jin-shun, WU Yong-tang, LI Xue-mei. Quasi-periodic solution of the (2+1)-dimensional Boussinesq-Burgers soliton equation [J]. Physical A, 2003.213-232.

备注/Memo

备注/Memo:
国家自然科学基金资助项目(10871165); 华侨大学高层次人才科研启动项目(07BS106)
更新日期/Last Update: 2014-03-23