| 广义的Zakharov方程和Ginzburg-Landau方程的精确解和行波解分支 |
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| 引用本文： | 戴振祥,徐园芬. 广义的Zakharov方程和Ginzburg-Landau方程的精确解和行波解分支[J]. 应用数学和力学, 2011, 32(12): 1509-1516. DOI: 10.3879/j.issn.1000-0887.2011.12.011 |
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| 作者姓名： | 戴振祥 徐园芬 |
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| 作者单位： | 宁波教育学院 信息与艺术学院,浙江 宁波 315010;2.浙江万里学院 基础学院,浙江 宁波 315101 |
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| 基金项目： | 宁波市自然科学基金资助项目(2008A610029) |
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| 摘 要： | 获得了广义的Zakharov方程和Ginzburg-Landau方程的一些精确行波解，这些行波解有什么样的动力学行为，它们怎样依赖系统的参数？该文将利用动力系统方法回答这些问题，给出了两个方程的6个行波解的精确参数表达式．
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| 关 键 词： | 动力系统方法 周期波解 非线性波方程 |
| 收稿时间： | 2011-04-29 |
Bifurcations of Traveling Wave Solutions and Exact Solutions of Generalized Zakharov Equation and Ginzburg-Landau Equation |
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| DAI Zhen-xiang , XU Yuan-fen. Bifurcations of Traveling Wave Solutions and Exact Solutions of Generalized Zakharov Equation and Ginzburg-Landau Equation[J]. Applied Mathematics and Mechanics, 2011, 32(12): 1509-1516. DOI: 10.3879/j.issn.1000-0887.2011.12.011 |
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| Authors: | DAI Zhen-xiang XU Yuan-fen |
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| Affiliation: | School of Information and Art, Ningbo Institute of Education, Ningbo, Zhejiang 315010, P. R. China; |
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| Abstract: | Some exact traveling wave solutions were found of generalized Zakharov equation and GinzburgLandau equation. What are the dynamical behavior of these traveling wave solutions and how do they depend on the parameters of the systems? These questions by using the method of dynamical systems were answered. Six exact explicit parametric representations of the traveling wave solutions for two equations were given. |
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| Keywords: | planar dynamical system periodic wave solution nonlinear wave equation |
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