| 一般格子方程的Jacobi椭圆函数精确解 |
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| 引用本文： | 李姝敏,高明,郭怀民.一般格子方程的Jacobi椭圆函数精确解[J].内蒙古大学学报(自然科学版),2012,43(1):13-18. |
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| 作者姓名： | 李姝敏 高明 郭怀民 |
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| 作者单位： | 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： | 包头师范学院科研项目，内蒙古自然科学基金，内蒙古教育厅高等学校科研项目 |
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| 摘 要： | 将推广的投影Riccati方程法应用到非线性差分—微分方程求解领域,并以一般格子方程为例,在符号计算系统Maple的帮助下,得到该方程一些新的Jacobi椭圆函数精确解.当m→1和m→0,所得的解将分别退化为双曲函数解和三角函数解.
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| 关 键 词： | 非线性差分—微分方程 推广的投影Riccati方程法 一般格子方程 精确解 |
Exact Solutions to Jacobi Elliptic Function of the General Lattice Equation |
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| LI Shu-min
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GAO Ming
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GUO Huai-min.Exact Solutions to Jacobi Elliptic Function of the General Lattice Equation[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(1):13-18. |
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| Authors: | LI Shu-min GAO Ming GUO Huai-min |
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| Institution: | (College of Mathematics Science,Baotou Teachers’ College,Baotou 014030,China) |
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| Abstract: | The extended projective Riccati equation method is presented in solving field of nonlinear difference-differential equation(s),and then the general lattice equation is chosen as an example and a number of new Jacobi elliptic function exact solutions of the equation are obtained with the help of symbolic computation system Maple.When the modulus m→1 and m→0,these obtained solutions will degenerate as hyperbolic function solutions and trigonometric function solutions respectively. |
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| Keywords: | nonlinear difference-differential equation the extended projective Riccati equation method the general lattice equation exact solution |
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