| 非线性发展方程的新精确行波解 |
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| 引用本文： | 庞晶,边春泉,朝鲁. 非线性发展方程的新精确行波解[J]. 内蒙古大学学报(自然科学版), 2010, 41(1) |
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| 作者姓名： | 庞晶 边春泉 朝鲁 |
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| 作者单位： | 1. 内蒙古工业大学理学院,呼和浩特,010051
2. 上海海事大学数学系,上海,200315 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(Grant No.10461005);;Doctoral Unit Foundation of Ministry of Education of China(Grant No.20070128001);;the High Education Science Research Program of Inner Mongolia(Grant No.NJZY07066)~~ |
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| 摘 要： | 应用(G/G′)展开法成功获得了(1+1)维改进的BBM方程和(1+1)维Burgers方程以及(2+1)维Zakharov-Kuznetsov(ZK)方程的精确行波解,同时也获得了一些含有参数的新解.结果表明,该方法是求解非线性发展方程精确行波解的一种有效工具.而且也可以用来求解数学物理领域中其它非线性偏微分方程.
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| 关 键 词： | 非线性发展方程 （G/G′）展开法 改进的BBM方程 Burgers方程 Zakharov-Kuznetsov方程 |
New Exact Travelling Wave Solutions of Nonlinear Evolution Equations |
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| PANG Jing,BIAN Chun-quan,CHAO Lu. New Exact Travelling Wave Solutions of Nonlinear Evolution Equations[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(1) |
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| Authors: | PANG Jing BIAN Chun-quan CHAO Lu |
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| Affiliation: | 1.College of Science/a>;Inner Mongolia University of Technology/a>;Hohhot 010051/a>;China/a>;2.Department of Mathematics/a>;Shanghai Maritime University/a>;Shanghai 200315/a>;China |
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| Abstract: | The (G/G')-expansion method is successfully implemented to find new travelling wave solutions for the (1+1)-dimensional modified BBM equation,(1+1)-dimensional Burgers equation and (2+1)-dimensional Zakharov-Kuznetsov (ZK) equation.At the same time,some new exact solutions with parameters are obtained.It is shown that this method is a powerful mathematical tool for obtaining exact travelling wave solutions of nonlinear evolution equations.It is also a promising method to solve other nonlinear partial differential equations in mathematical physics. |
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| Keywords: | nonlinear evolution equation the (G/G')-expansion method modified BBM equation Burgers equation Zakharov-Kuznetsov equation |
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