| 具五次强非线性项的Lienard方程的新精确解 |
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| 引用本文： | 田应辉,陈翰林,罗原.具五次强非线性项的Lienard方程的新精确解[J].西南交通大学学报,2005,40(6):832-836. |
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| 作者姓名： | 田应辉 陈翰林 罗原 |
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| 作者单位： | 西南科技大学理学院,四川,绵阳,621002 |
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| 基金项目： | 感谢聊城大学刘希强教授的指导. |
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| 摘 要： | 通过构造辅助方程,求出了具五次强非线性项的L ienard方程的多种新精确解,包括孤波解、三角函数解、Jacob i椭圆函数解.利用所得结果可以求出Kundu方程、导数Schr d inger方程和力学中重要的具五次强非线性项的波方程以及PC方程等重要非线性发展方程的精确解.
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| 关 键 词： | Lienard方程 孤波解 三角函数解 Jacobi椭圆函数解 |
| 文章编号： | 0258-2724（2005）06-0832-05 |
| 收稿时间： | 2004-09-09 |
| 修稿时间： | 2004-09-09 |
New Exact Solutions of the Lienerd Equations with Fifth-Order Stronger Nonlinear Terms |
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| TIAN Ying-hui,CHEN Han-lin,LUO Yuan.New Exact Solutions of the Lienerd Equations with Fifth-Order Stronger Nonlinear Terms[J].Journal of Southwest Jiaotong University,2005,40(6):832-836. |
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| Authors: | TIAN Ying-hui CHEN Han-lin LUO Yuan |
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| Institution: | School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621002, China |
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| Abstract: | By constructing auxiliary differential equations,new multiple exact solutions of the Lienard equations with fifth-order stronger nonlinear terms were obtained,including solitary solutions,trigonometric function solutions,Jacobian elliptic function solutions.By use of the results,new multiple explicit exact solutions of many important nonlinear evolution equations,such as the Kundu equations,the differential Schrdinger equations,the nonlinear wave equations in mechanics,PC equations and so on,can be solved. |
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| Keywords: | Lienard equation solitary solution trigonometric function solution Jacobian elliptic function solution |
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