| 非线性差分-微分方程的Jacobi椭圆函数解 |
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| 引用本文： | 李姝敏,斯仁道尔吉.非线性差分-微分方程的Jacobi椭圆函数解[J].西北师范大学学报,2007,43(4):41-45. |
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| 作者姓名： | 李姝敏 斯仁道尔吉 |
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| 作者单位： | [1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022 [2]包头师范学院数学科学学院,内蒙古包头014030 |
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| 基金项目： | 国家自然科学基金;内蒙古自然科学基金;内蒙古高等学校科研项目 |
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| 摘 要： | 基于椭圆函数展开法和tanh函数法，引入构造非线性离散系统行波解的方法，并给出了离散mKdV lattice方程和（2十1）-维Hybridlattice方程的一些新的椭圆函数解．
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| 关 键 词： | 椭圆函数解 离散mKdV lattice方程 (2 1)-维Hybrid lattice方程 精确解 |
| 文章编号： | 1001-988X（2007）04-0041-05 |
| 修稿时间： | 2007-01-212007-04-10 |
Jacobi elliptic function solutions to the nonlinear difference-differential equations |
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| LI Shu-min,Sirendaoreji.Jacobi elliptic function solutions to the nonlinear difference-differential equations[J].Journal of Northwest Normal University Natural Science (Bimonthly),2007,43(4):41-45. |
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| Authors: | LI Shu-min Sirendaoreji |
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| Institution: | 1. College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, Inner Mangolia, China; 2. College of Mathematical Science, Baotou Normal College, Baotou 014030, Inner Mangolia, China |
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| Abstract: | Based on Jacobi elliptic function expansion method and the tanh function method,a method for constructing traveling wave solutions to nonlinear discrete systems is proposed.By using the method,the new Jacobi elliptic function solutions to the discrete mKdV lattice equation and(2 1)-dimensional Hybrid lattice equation are obtained. |
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| Keywords: | Jacobi elliptic function discrete mKdV lattice equation (2 1)-dimensional Hybrid lattice equation exact solutions |
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