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| 一类非线性偏微分方程的改进的Jacobi椭圆函数精确解 | |
| 引用本文： | 肖亚峰,薛海丽,张鸿庆.一类非线性偏微分方程的改进的Jacobi椭圆函数精确解[J].甘肃联合大学学报(自然科学版),2011,25(4):1-5. |
| 作者姓名： | 肖亚峰 薛海丽 张鸿庆 |
| 作者单位： | 1. 中北大学数学系,山西太原,030051 2. 中北大学软件学院,山西太原,030051 3. 大连理工大学数学科学学院,辽宁大连,116024 |
| 基金项目： | 国家重点基础研究专项基金(2004CB318000); 国家自然科学基金青年基金(10901145) |
| 摘 要： | 对Jacobi椭圆函数展开法进行了改进,并将其应用到一类常微分方程中,比较方便的得到其Jacobi椭圆函数解.许多非线性发展方程都可借助该方程得到其相应的精确解,如MKdV方程、(2+1)维MKP方程及非线性波方程等方程的一系列新的精确解. |
| 关 键 词： | 改进的Jacobi椭圆函数展开法 吴消元法 孤立子 非线性演化方程 |
Applying Improved Jacobi Elliptic Function Expansion Methods to Exact Solutions on a Class of Nonlinear Partial Differential Equation |
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| XIAO Ya-feng,XUE Hai-li,ZHANG Hong-qing.Applying Improved Jacobi Elliptic Function Expansion Methods to Exact Solutions on a Class of Nonlinear Partial Differential Equation[J].Journal of Gansu Lianhe University :Natural Sciences,2011,25(4):1-5. | |
| Authors: | XIAO Ya-feng XUE Hai-li ZHANG Hong-qing |
| Institution: | XIAO Ya-feng1,XUE Hai-li2,ZHANG Hong-qing3(1.Department of Mathematics,North University of China,Taiyuan 030051,China,2.Software School,3.School of Mathematical Sciences,Dalian University of Technology,Liaoning 116024,China) |
| Abstract: | In the paper,extended elliptic function expansion method is improved and applied to a class of the ordinary differential equations.A series of new exact Jacobi elliptic functions solutions are easily obtained by this method.Many nonlinear evolution equations,i.e.MKdV equation,(2+1)-dimentional MKP equation and nonlinear wave equation can be transformed to the above ordinary differential equation,and their corresponding exact solutions can also be obtained. |
| Keywords: | improved elliptic function expansion method Wu-Ellimination method soliton nonlinear evolution equation |
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