| 耦合非线性波动方程组的约化摄动分析 |
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| 引用本文： | 易金桥,郭志荣,吕克璞,段文山.耦合非线性波动方程组的约化摄动分析[J].西北师范大学学报,2006,42(3):37-41. |
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| 作者姓名： | 易金桥 郭志荣 吕克璞 段文山 |
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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： | 基于远方场理论的思想,应用约化摄动分析方法对耦合KdV方程和耦合mKdV方程进行了近似求解,并得到了它们的几组孤立波解,与已有结论相比,其振幅的物理意义更加丰富.在特殊情况下,所得到的近似解与精确解具有完全相同的形式.分析表明,所应用的约化摄动方法在研究小振幅扰动问题方面有一定的普适性.
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| 关 键 词： | 约化摄动方法 耦合KdV方程组 耦合mKdV方程组 |
| 文章编号： | 1001-988X（2006）03-0037-05 |
| 收稿时间： | 2005-10-12 |
| 修稿时间： | 2006-04-03 |
The reductive perturbation analysis of coupled nonlinear wave equations |
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| YI Jin-qiao,GUO Zhi-rong,L Ke-pu,DUAN Wen-shan.The reductive perturbation analysis of coupled nonlinear wave equations[J].Journal of Northwest Normal University Natural Science (Bimonthly),2006,42(3):37-41. |
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| Authors: | YI Jin-qiao GUO Zhi-rong L Ke-pu DUAN Wen-shan |
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| Institution: | College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, Gansu, China |
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| Abstract: | Based on the far-field theory,the coupled KdV equations and coupled mKdV equations are analysed by using the reductive perturbation analysis method,and some solitary wave solutions are obtained.The amplitude of solitary waves shows more prolific physics signification comparing with the conclusions of existing references.If the waves are damped and inclined zero at infinite farness,the approximate solutions are the same as exact solutions in this paper.It is shown that the reductive perturbation method will be extensively applied in studying the small amplitude disturbance problems. |
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| Keywords: | reductive perturbation method coupled KdV equations coupled mKdV equations |
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