| 利用F-展开法求解ZK-BBM方程 |
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| 引用本文： | 鱼翔.利用F-展开法求解ZK-BBM方程[J].纯粹数学与应用数学,2012(2):228-231. |
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| 作者姓名： | 鱼翔 |
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| 作者单位： | 西北大学数学系,陕西西安710069 |
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| 基金项目： | 国家自然科学基金(10671156) |
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| 摘 要： | 利用F-展开法求解出了ZK-BBM方程的双周期波解,并在极限形式下得到了ZK-BBM方程的孤波解和单周期波解.从而丰富了该方程解的理论.此方法也可适用求解其它非线性发展方程.
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| 关 键 词： | F-展开法 ZK-BBM方程 孤波解 周期波解 |
Using F-expansion method for solving ZK-BBM equations |
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| Yu Xiang.Using F-expansion method for solving ZK-BBM equations[J].Pure and Applied Mathematics,2012(2):228-231. |
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| Authors: | Yu Xiang |
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| Institution: | Yu Xiang(Department of Mathematics,Northwest University,Xi an 710127,China) |
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| Abstract: | By F-expansion method,doubly periodic wave solutions of ZK-BBM equation was solved.In the limit cases,the solitary wave solutions and single periodic wave solutions of the ZK-BBM equation are obtained.All these enrich the theory of solutions of this equation.This method also can be applied to solve other nonlinear evolution equation. |
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| Keywords: | F-expansion method ZK-BBM equation solitary solution periodic solutions |
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