| 构造非线性发展方程精确解方法探索 |
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| 引用本文： | 敖特根.构造非线性发展方程精确解方法探索[J].内蒙古民族大学学报(自然科学版),2008,23(2):124-126. |
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| 作者姓名： | 敖特根 |
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| 作者单位： | 呼伦贝尔学院,数学系,内蒙古,海拉尔,021008 |
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| 摘 要： | 本文以齐次平衡法和辅助方程法为基础，给出非线性发展方程的一种新形式解与辅助方程相结合的方法，借助符号计算系统Mathematica构造mKdV方程、KdV方程的新的精确解．
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| 关 键 词： | 辅助方程 非线性发展方程 形式解 精确解 |
| 文章编号： | 1671-0185(2008)02-0124-03 |
| 修稿时间： | 2007年12月21 |
The Study on Constructing the Exact Solutions of Nonlinear Evolution Equations |
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| Aotegen.The Study on Constructing the Exact Solutions of Nonlinear Evolution Equations[J].Journal of Inner Mongolia University for the Nationalities(Natural Sciences),2008,23(2):124-126. |
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| Authors: | Aotegen |
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| Institution: | Aotegen (Department of Mathematics,Hulunbeier College,Hailar 021008,China) |
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| Abstract: | Based on the homogenous balance method and the auxiliary equation method, a method for a class of new formal solutions to nonlinear evolution equation combing with auxiliary equation is proposed and then the method is applied to constructed the new exact solutions of mKdV equation and KdV equation with the help of symbolic computation system Mathematiea. |
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| Keywords: | Auxiliary equation Nonlinear evolution equation Fomal solution Exact solution |
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