| 直接代数法构造非线性差分微分方程的新精确解 |
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| 引用本文： | 敖特根.直接代数法构造非线性差分微分方程的新精确解[J].内蒙古大学学报(自然科学版),2007,38(3):241-246. |
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| 作者姓名： | 敖特根 |
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| 作者单位： | 呼伦贝尔学院数学系,内蒙古,海拉尔,021008 |
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| 摘 要： | 在试探函数法的基础上利用双曲函数和三角函数所组成的两种直接代数法,并借助符号计算系统Mathematica构造了非线性差分微分mKdV方程和Hybrid-lattice系统的精确孤波解和三角函数波解.
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| 关 键 词： | 直接代数法 非线性差分微分mKdv方程 Hybrid-lattice系统 精确孤波解 三角函数波解 直接代数法 构造 非线性 差分 微分方程 新精确解 Algebraic Method Direct Differential Equation Difference Nonlinear Exact Solutions 精确孤波解 计算系统 mKdV Mathematica 符号 组成 三角函数 双曲函数 |
| 文章编号： | 1000-1638（2007）03-0241-06 |
| 修稿时间： | 2006-11-21 |
Constructing the New Exact Solutions to a Nonlinear Difference Differential Equation by Direct Algebraic Method |
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| Aotegen.Constructing the New Exact Solutions to a Nonlinear Difference Differential Equation by Direct Algebraic Method[J].Acta Scientiarum Naturalium Universitatis Neimongol,2007,38(3):241-246. |
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| Authors: | Aotegen |
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| Institution: | Department of Mathematics, Hulunbeier College, Hailar 021008 ,China |
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| Abstract: | Based on a trial function method,by using two direct algebraic methods composed of hyperbolic function and triangle function, the exact solitary wave solutions and triangle function wave solutions to the nonlinear difference differential mKdV equation and Hybrid-lattice system are constructed with the help of Mathematica for the symbolic computation system. |
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| Keywords: | direct algebraic method nonlinear difference differential mKdV equation Hybridlattice system exact solitary wave solution triangle function wave solution |
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