| 幂级数展开法求解动脉分支非线性血液脉搏波方程 |
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| 引用本文： | 黄磊,豆福全,孙建安.幂级数展开法求解动脉分支非线性血液脉搏波方程[J].西北师范大学学报,2006,42(3):46-48,53. |
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| 作者姓名： | 黄磊 豆福全 孙建安 |
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| 作者单位： | 西北师范大学物理与电子工程学院,甘肃兰州730070 |
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| 摘 要： | 运用幂级数展开法求解了动脉分支非线性血液脉搏波方程．首先将其化为KdV（Korteweg—dc Vries）方程和混合的KdV—mKdV方程（也称为Gardner方程）．进而获得了该系统的周期波解和孤波解．
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| 关 键 词： | 幂级数展开法 非线性血液脉搏波方程 KdV方程 混合的KdV-mKdV方程 孤波解 |
| 文章编号： | 1001-988X（2006）03-0046-03 |
| 收稿时间： | 2005-09-16 |
| 修稿时间： | 2005-09-162005-11-17 |
Power series expansion methods to study nonlinear blood waves due to arterial branching |
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| HUANG Lei,DOU Fu-quan,SUN Jia-nan.Power series expansion methods to study nonlinear blood waves due to arterial branching[J].Journal of Northwest Normal University Natural Science (Bimonthly),2006,42(3):46-48,53. |
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| Authors: | HUANG Lei DOU Fu-quan SUN Jia-nan |
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| Institution: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Power series expansion mehtods are used to study nonlinear blood waves due to arterial branching, and get the KdV equation and Gardner equation. Then the periodic solution and the solitary solution are obtained. |
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| Keywords: | power series expansion method nonlinear blood wave KdV equation Gardner equation solitary solution |
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