| 秦振云,马文秀,马红彩.带自由参数高阶变系数耦合非线性Schr(o)dinger方程的Painlevé可积性[J].数学年刊A辑,2012,33(2):229~236 |
| 带自由参数高阶变系数耦合非线性Schr(o)dinger方程的Painlevé可积性 |
| Painlevé Integrability of Coupled Variable Coefficient Higher-Order Nonlinear Schr(o)dinger Equations with Free Parameters |
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| DOI： |
| 中文关键词: Painlevé可积性 非线性Schr(o)dinger方程 变系数 |
| 英文关键词:Painlev′e integrability, Nonlinear Schr¨odinger equation, Variable
coefficient |
| 基金项目:国家自然科学基金，外国专家局基金，教育部博士点新教师基金，上海市自然科学基金与上海市重点学科建设项目，中央高校专项业务基金，复旦青年教师基金 |
| Author Name | Affiliation | E-mail | | QIN Zhenyun | Corresponding author. School of Mathematical Sciences, Key Lab for Nonlinear
Mathematical Models and Methods, Fudan University, Shanghai 200433,
china | zyqin@fudan.edu.cn | | MA Wenxiu | Department of Mathematics and Statistics, University of South Florida,
Tampa, Florida 33620-5700, USA. | mawx@cas.usf.edu | | MA Hongcai | Department of Applied Mathematics, College of Science, Donghua University,
Shanghai 201620, china | hongcaima@dhu.edu.cn |
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| 中文摘要: |
| 借助于奇异分析的手段判断带自由参数高阶变系数耦合非线性Schr(o)dinger方程的Painlevé可积性.得到了在一定参数约束下,仅有两个子系统是Painlevé可积的. |
| 英文摘要: |
| By means of the singularity analysis, the Painlev′e integrability of the system of
coupled variable coefficient higher-order nonlinear Schr¨odinger equations with free parameters
is tested. It is shown that only two sub-systems possess the standard Painlev′e property
under some constraints on parameters for the Painlev′e integrability. |
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