| 一类BBM系统的精确孤立波解 |
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| 引用本文： | 赵烨. 一类BBM系统的精确孤立波解[J]. 内蒙古大学学报(自然科学版), 2010, 41(2) |
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| 作者姓名： | 赵烨 |
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| 作者单位： | 北京石油化工学院数理系,北京,102617 |
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| 基金项目： | supported by the NSF of China(10671131);;Beijing NSF(1092006);;Youth Science Foundation of Beijing Institute of Petrolchemical-Technology(08010702016)~~ |
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| 摘 要： | 研究一类耦合BBM系统的精确孤立波解.为找到系统的孤立波解,只需研究一个常微分方程组解的存在性.对于给定的解的形式,此常微分方程组解的求解转化为求解一个非线性代数方程组.利用双曲函数展开法,通过细致的计算,得到了系统的一类显式孤立波解.
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| 关 键 词： | BBM系统 精确解 孤立波 |
Exact Solitary Wave Solutions for a Class of BBM Systems |
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| ZHAO Ye. Exact Solitary Wave Solutions for a Class of BBM Systems[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2010, 41(2) |
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| Authors: | ZHAO Ye |
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| Affiliation: | Department of Mathematics and Physics/a>;Beijing Institute of Petrolchemical-Technology/a>;Beijing 102617 |
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| Abstract: | Exact solitary wave solutions for a class of strongly coupled BBM systems are investigated.To find an explicit solitary wave solution of the system,it is sufficient to find a solution of an ordinary differential equation.For a specified form of solutions,the solution of the ordinary differential equation can be found by solving a system of nonlinear algebraic equations.By means of hyperbolic function method,and by detailed computation,the exact solitary wave solutions of the system are presented. |
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| Keywords: | BBM system exact solution solitary wave |
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