| 二维RLW方程的Cauchy问题 |
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| 引用本文： | 黄正洪. 二维RLW方程的Cauchy问题[J]. 应用数学和力学, 2002, 23(2): 157-164 |
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| 作者姓名： | 黄正洪 |
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| 作者单位： | 重庆商学院基础部, 重庆 400067 |
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| 摘 要： | 通过椭圆积分求出了二维RLW方程椭圆余弦波解,并用先验估计方法证明了该方程Cauchy问题关于小x、y周期解的若干性质和解的唯一性、稳定性。
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| 关 键 词： | 二维RLW方程 椭圆余弦波解 周期解 唯一性 |
| 文章编号： | 1000-0887(2002)02-0157-08 |
| 收稿时间： | 2000-08-30 |
| 修稿时间： | 2000-08-30 |
On Cauchy Problems for the RLW Equation in Two Space Dimensions |
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| HUANG Zheng-hong. On Cauchy Problems for the RLW Equation in Two Space Dimensions[J]. Applied Mathematics and Mechanics, 2002, 23(2): 157-164 |
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| Authors: | HUANG Zheng-hong |
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| Affiliation: | Department of Foundation, Chongqing Institute of Commerce, Chongqing 400067, P R China |
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| Abstract: | A cnoidal wave solution of the two dimensional RLW equation of are obtained by elliptic integral method, and the some estimations the uniqueness and the stability of the periodic solution with both x,y to the Cauchy problem are proved by the priori estimations. |
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| Keywords: | two dimensions RLW equation cnoidal wave solution periodic solution uniqueness |
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