| 对于求耦合KdV方程组的精确解两种方法的尝试 |
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| 引用本文： | 田景芝. 对于求耦合KdV方程组的精确解两种方法的尝试[J]. 四川理工学院学报(自然科学版), 2008, 21(1): 33-35 |
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| 作者姓名： | 田景芝 |
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| 作者单位： | 云南民族大学数学与计算机科学学院,昆明,650031 |
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| 摘 要： | 尝试用Jacobi椭圆函数展开法和F展开法来求解耦合KdV方程组。得出了用这两种方法求KdV方程组的精确解都不很理想,存在某些限定条件,并分析了出现此种情况的原因。
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| 关 键 词： | 齐次平衡原则 耦合KdV方程组 Jacobi椭圆函数展开法 F展开法 精确解 |
| 文章编号： | 1673-1549（2008）01-0033-03 |
| 收稿时间： | 2007-05-23 |
| 修稿时间： | 2007-05-23 |
An Attempt on two Methods for Finding Exact Solutions of a Coupled KdV Equations |
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| TIAN Jing-zhi. An Attempt on two Methods for Finding Exact Solutions of a Coupled KdV Equations[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2008, 21(1): 33-35 |
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| Authors: | TIAN Jing-zhi |
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| Abstract: | We will attempt to solve a coupled KdV equations by using two methods which are very effective in solving a large class of nonlinear evolution equations,namely,Jacobi elliptic function expansion method and F-expansion method.We obtain the result that there exists certain restrictions when use the two methods to solve exact solutions of a coupled KdV equations. Furthemore,the cause of this phenomenon is obtained |
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| Keywords: | Homogeneous balance principle coupled KdV equations Jacobi elliptic function expansion method F-expansion method exact solutions |
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