| Global attractor for Hirota equation |
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| 作者姓名： | ZHANG Rui-feng~ GUO Bo-ling~ Institute of Appl.Math. College of Math.and Inform.Sci. Henan Univ. Kaifeng China Institute of Appl.Phys.and Comput.Math. Beijing China. |
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| 作者单位： | ZHANG Rui-feng~1 GUO Bo-ling~2 1 Institute of Appl.Math.，College of Math.and Inform.Sci.，Henan Univ.，Kaifeng 475001，China 2 Institute of Appl.Phys.and Comput.Math.，Beijing 100088，China. |
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| 基金项目： | 河南教育部自然科学基金，河南大学校科研和教改项目 |
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| 摘 要： | The long time behavior of solution for Hirota equation with zero order dissipation is studied. The global weak attractor for this system in Hper^k is constructed. And then by exact analysis of the energy equation, it is shown that the global weak attractor is actually the global strong attractor in Hper^k.
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| 关 键 词： | 球形 吸引子 方程式 应用数学 |
| 收稿时间： | 8 January 2005 |
Global attractor for Hirota equation |
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| ZHANG Rui-feng GUO Bo-ling Institute of Appl.Math.,College of Math.and Inform.Sci.,Henan Univ.,Kaifeng ,China Institute of Appl.Phys.and Comput.Math.,Beijing ,China..Global attractor for Hirota equation[J].Applied Mathematics A Journal of Chinese Universities,2008,23(1):57-64. |
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| Authors: | Rui-feng Zhang Bo-ling Guo |
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| Institution: | [1]Institute of Appl. Math., College of Math. and Inform. Sci., Henan Univ., Kaifeng 475001, China. [2]Institute of Appl. Phys. and Comput. Math., Beijing 100088, China. |
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| Abstract: | The long time behavior of solution for Hirota equation with zero order dissipation is studied. The global weak attractor for this system in Hkper is constructed. And then by exact analysis of the energy equation,it is shown that the global weak attractor is actually the global strong attractor in Hkper. |
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| Keywords: | Hirota equation a priori estimate global attractor |
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