| 拟线性波方程的函数分离变量解 |
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| 引用本文： | 勾明.拟线性波方程的函数分离变量解[J].兰州大学学报(自然科学版),2009,45(1). |
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| 作者姓名： | 勾明 |
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| 作者单位： | 西北大学数学系,西安,710069 |
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| 摘 要： | 利用群分叶法研究了带有变速度和外力项的拟线性波方程utt=(A(x)D(u)uxn)x+Q(u)的函数变量分离问题.对于允许和型或乘积型分离变量解的二阶波方程给出了一个完整的分类.
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| 关 键 词： | 函数分离变量解 拟线性波方程 群分叶法 |
Functional separable solutions to quasi-linear wave equations |
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| GOU Ming.Functional separable solutions to quasi-linear wave equations[J].Journal of Lanzhou University(Natural Science),2009,45(1). |
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| Authors: | GOU Ming |
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| Institution: | Department of Mathematics;Northwest University;Xi'an 710069;China |
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| Abstract: | Functional separation of variables for the quasi-linear wave equations with a variable wave speed and external force term u_(tt)=(A(x)D(u)u_x~n)_x+Q(u)was studied in terms of the group foliation method.A classification was carried out for the second order wave equations which admit additive or product separable solutions. |
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| Keywords: | functional separable solution quasi-linear wave equation group foliation method |
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