| (2+1)维浅水波方程的新精确解 |
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| 引用本文： | 刘秀玲,李金花,胡斌.(2+1)维浅水波方程的新精确解[J].纯粹数学与应用数学,2008,24(4). |
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| 作者姓名： | 刘秀玲 李金花 胡斌 |
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| 作者单位： | 西北大学数学系,陕西,西安,710127;西北大学非线性研究中心,陕西,西安,710069;圣玛丽大学计算机系,美国,明尼苏达州,55987 |
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| 基金项目： | 国家自然科学基金
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| 摘 要： | 对(2+1)维浅水波方程的现有解进行了推广.应用CK方法对方程进行求解,得到方程的Backlund变换公式,将已知解代入公式,求得一些新的精确解,从而推广了浅水渡方程的解.
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| 关 键 词： | (2+1)维浅水波方程 CK方法 Backlund变换 种子解 精确解 |
New exact solutions for a(2+1) dimensional shallow water wave equation |
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| LIU Xiu-ling,LI Jin-hua,HU Bin.New exact solutions for a(2+1) dimensional shallow water wave equation[J].Pure and Applied Mathematics,2008,24(4). |
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| Authors: | LIU Xiu-ling LI Jin-hua HU Bin |
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| Abstract: | The aim of this paper is to generalize the existing solutions of the(2+1)dimensional shallow water wave equation.By applying the CK method,we obtain the Backlund transformation of finding solution,substituting the known solutions to it,so some new solutions are found.The results of the shallow water wave equation are generalized. |
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| Keywords: | (2+1) dimensional shallow water wave equation equation CK method Backlund transformation seed solution exact solution |
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