| 离散的非线性Ablowitz方程的Jacobi椭圆函数解 |
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| 引用本文： | 李玉山,刘建明.离散的非线性Ablowitz方程的Jacobi椭圆函数解[J].商丘师范学院学报,2011,27(9):23-25. |
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| 作者姓名： | 李玉山 刘建明 |
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| 作者单位： | 1. 甘肃政法学院计算机科学学院,甘肃兰州,730070
2. 商丘职业技术学院数学教学团队,河南商丘,476000 |
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| 基金项目： | 甘肃政法学院科研资助项目(青年项目)基金 |
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| 摘 要： | 基于Jacobi椭圆函数展开法求解离散的非线性Ablowitz方程,得到包含Jacobi椭圆正弦,Jacobi椭圆余弦,第三类Jacobi椭圆余弦的周期波解并表明在极限情形下得到孤立子解.
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| 关 键 词： | 离散的非线性Ablowitz方程 Jacobi椭圆函数展开法 周期波解 孤立子解 |
Jacobi elliptic function solutions to the discrete nonlinear ablowitz equation |
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| LI Yushan,LIU Jianming.Jacobi elliptic function solutions to the discrete nonlinear ablowitz equation[J].Journal of Shangqiu Teachers College,2011,27(9):23-25. |
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| Authors: | LI Yushan LIU Jianming |
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| Institution: | LI Yushan1,LIU Jianming2(1.School of Computer Science,Gansu Institute of Political Science and Law,Lanzhou 730070,China,2.Dept.of Math.Shangqiu Vocational and Teachnical College,Shangqiu 476000,China) |
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| Abstract: | Base on Jacobi elliptic function expansion method are applied to discrete nonlinear Ablowitz equation.By using the method,periodic wave solution including Jacobi elliptic sine function,Jacobi elliptic cosine function and the third Jacobi elliptic dn function are obtaind.On the limit condition,the solitary wave solution can be obtained. |
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| Keywords: | discrete nonlinear Ablowitz equation Jacobi elliptic function expansion method periodic wave solution solitary solution |
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