| 扰动广义KdV-Burgers方程的无穷级数解 |
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| 引用本文： | 李艳.扰动广义KdV-Burgers方程的无穷级数解[J].高师理科学刊,2010,30(3). |
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| 作者姓名： | 李艳 |
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| 作者单位： | 西北大学,数学系,陕西,西安,710127;西北大学,非线性研究中心,陕西,西安710127 |
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| 摘 要： | 近似同伦直接约化法应用于扰动广义KdVB方程.应用该方法给出方程的无穷级数解,得到任意阶数的约化方程,从而推广了非线性系统的处理方法,推广了方程的解.
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| 关 键 词： | 近似同伦直接约化法 扰动的广义KdVB方程 无穷级数解 |
Infinite series solutions to the perturbed general KdV-Burgers equation |
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| LI Yan.Infinite series solutions to the perturbed general KdV-Burgers equation[J].Journal of Science of Teachers＇College and University,2010,30(3). |
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| Authors: | LI Yan |
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| Institution: | LI Yan (1.Department of Mathematics; Northwest University; Xi an 710127; China; 2.Center of Nonlinear Studies; China); |
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| Abstract: | An approximate homotopy direct reduction method was applied to the perturbed general KdVB equation.By this method,obtained the infinite series solutions to the KdVB eqution,and also the similarity reduction equations are derived to arbitrary orders.Thus generalized such methods to the application of nonlinear system.The results of the equations was generalized. |
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| Keywords: | approximate homotopy direct reduction method（AHDRM） perturbed general KdVB equation infinite series solution |
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