| Zhiber-Shabat方程的精确行波解 |
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| 引用本文： | 元艳香,冯大河,韩虎,胡贝贝.Zhiber-Shabat方程的精确行波解[J].桂林电子科技大学学报,2012,32(2):162-166. |
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| 作者姓名： | 元艳香 冯大河 韩虎 胡贝贝 |
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| 作者单位： | 桂林电子科技大学 数学与计算科学学院,广西 桂林,541004 |
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| 基金项目： | 国家自然科学基金，中国博士后基金，广西自然科学基金，广西研究生教育创新计划资助项目 |
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| 摘 要： | 采用Fan子方程法并借助符号计算软件Maple求解Zhiber-Shabat方程,利用平衡法求得Fan子方程的参数约束条件,得出在不同参数条件下子方程解的显式表达式,进而获得了原方程丰富的精确行波解,得到几类具有代表性的行波解,包括三角函数解、双曲函数解、双周期Jacobi椭圆函数解.
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| 关 键 词： | Zhiber-Shabat方程 Fan子方程法 三角函数解 双曲函数解 双周期Jacobi椭圆函数解 |
Exact traveling wave solutions of the Zhiber-Shabat equation |
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| Yuan Yanxiang
,
Feng Dahe
,
Han Hu
,
Hu Beibei.Exact traveling wave solutions of the Zhiber-Shabat equation[J].Journal of Guilin Institute of Electronic Technology,2012,32(2):162-166. |
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| Authors: | Yuan Yanxiang Feng Dahe Han Hu Hu Beibei |
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| Affiliation: | (School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004 China) |
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| Abstract: | In this letter,the Fan sub-equation method is used to construct traveling wave solutions of the Zhiber-Shabat equation with the aid of software Maple.By using the balance method we can get the condition of parameters of the sub-equation and the solutions of it under different parameter conditions,then some exact solutions of the Zhiber-Shabat equation are obtained,which include triangular function solutions,hyperbolic function solutions and Jacobi elliptic function solutions with double periodics. |
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| Keywords: | Zhiber-Shabat equation Fan sub-equation method triangular function solutions Hyperbolic function solutions Jacobian elliptic doubly periodic function solutions |
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