| 浅水长波近似方程组的非线性函数变换和孤立波解 |
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| 引用本文： | 王明亮,周宇斌.浅水长波近似方程组的非线性函数变换和孤立波解[J].兰州大学学报(自然科学版),1998,34(2):21-25. |
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| 作者姓名： | 王明亮 周宇斌 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 利用齐次平衡方法导出了浅水长波近似方程组的一个非线性函数变换，借助这个变换，只需解一个线性常系数偏微分方程，就可得到方程组的精确解。特别的，得到了方程组的孤立波解。
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| 关 键 词： | 浅水长波 近似方程组 非线性函数变换 孤立波解 |
A Nonlinear Function Transformation and the Exact Solutions of the Approximate Equations for Long Waves in Shallow Water |
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| Wang Mingliang,Zhou Yubin.A Nonlinear Function Transformation and the Exact Solutions of the Approximate Equations for Long Waves in Shallow Water[J].Journal of Lanzhou University(Natural Science),1998,34(2):21-25. |
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| Authors: | Wang Mingliang Zhou Yubin |
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| Abstract: | A nonlinear function transformation of the approximate equations for long waves in shallow water is derived by using the homogeneous balance method; The exact solutions of the equations can be obtained though the solution of one linear equation by means of the transformation derived here. In particular, an explicitly solitary wave solution of the equations is obtained. |
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| Keywords: | approximate equations for long waves in shallow water homogeneous balance method non linear function transformation exact solution of a solitary wave |
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