| 构造变系数非线性发展方程精确解的一种方法 |
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| 引用本文： | 敖特根.构造变系数非线性发展方程精确解的一种方法[J].内蒙古大学学报(自然科学版),2007,38(5):597-600. |
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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,海拉尔,021008 |
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| 摘 要： | 给出一种辅助方程的解,并通过一种函数变换,借助符号计算系统Mathematica构造了两类变系数KdV方程、广义变系数KdV方程和带有强迫项的KdV方程的新的类孤子解和三角函数波解.
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| 关 键 词： | 辅助方程 变系数KdV方程 类孤子解 三角函数波解 构造 广义变系数 线性发展方程 精确解 方法 Variable Coefficients Nonlinear Evolution Exact Solutions Constructing 波解 三角函数 类孤子解 强迫项 Mathematica 计算系统 符号 函数变换 方程的解 |
| 文章编号： | 1000-1638（2007）05-0597-04 |
| 修稿时间： | 2006-12-15 |
A Method for Constructing the Exact Solutions to the Nonlinear Evolution with the Variable Coefficients |
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| Aotegen.A Method for Constructing the Exact Solutions to the Nonlinear Evolution with the Variable Coefficients[J].Acta Scientiarum Naturalium Universitatis Neimongol,2007,38(5):597-600. |
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| Authors: | Aotegen |
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| Institution: | Department of Mathematics, Hulunbeir College, Hailar 021008, China |
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| Abstract: | By use of solutions of the auxiliary equation,and through making a function transformation,the new soliton-like solutions and the triangle function wave solutions to some equations are constructed with the help of symbolic computation system Mathematica.The equations include two kinds of KdV equation with variable coefficients,the generalized KdV equation with variable coefficients and KdV equation with the forcible term. |
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| Keywords: | auxiliary equation variable coefficient KdV equation soliton-like solution trigonometric wave solution |
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