| 非线性耦合KdV方程组的多种行波解 |
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| 引用本文： | 于西昌,董仲周.非线性耦合KdV方程组的多种行波解[J].聊城大学学报(自然科学版),2005,18(3):31-34,44. |
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| 作者姓名： | 于西昌 董仲周 |
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| 作者单位： | 1. 聊城职业技术学院,机电工程系,山东,聊城,252000;聊城大学,数学科学学院,山东,聊城,252059
2. 聊城大学,数学科学学院,山东,聊城,252059 |
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| 摘 要： | 利用构造辅助函数的方法．给出了非线性耦合KdV方程的某些新的精确行波解，其中包括孤子解，三角函数解，椭圆函数解和幂函数解．
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| 关 键 词： | 辅助函数 非线性耦合KdV方程 孤子解 三角函数解 椭圆函数解 幂函数解 |
| 文章编号： | 1672-6634（2005）02-0031-04 |
| 收稿时间： | 2005-02-26 |
| 修稿时间： | 2005-02-26 |
Mutiple Travelling Wave Solutions of the Nonlinear Coupled Kdv Equations |
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| YU Xi-chang,DONG Zhong-zhou.Mutiple Travelling Wave Solutions of the Nonlinear Coupled Kdv Equations[J].Journal of Liaocheng University:Natural Science Edition,2005,18(3):31-34,44. |
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| Authors: | YU Xi-chang DONG Zhong-zhou |
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| Abstract: | By constructing auxiliary functions, we have obtained some new exact traveling wave solutions of the nonlinear coupled KdV equations which include solitary wave solutions, trigonometric function solutions,Jacobian elliptic function solutions and rational solutions. |
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| Keywords: | auxiliary functions nonlinear coupled KdV equations solitary wave solutions trigonometric function solutions Jacobian elliptic function solutions rational solutions |
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