| SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM |
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| 作者姓名： | 谢福鼎 闫振亚 张鸿庆 |
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| 作者单位： | XIE Fu-ding，YAN Zhen-ya，ZHANG Hong-qing (Department of Applied Mathematics，Dalian University of Technology，Dalian 116024，P R China)(Contributed by ZHANG Hong-qing) |
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| 基金项目： | theNationalKeyBasicResearchDevelopmentProjectProgramofChina
(G1 9980 3 0 60 0 )，theNationalNaturalScienceFoundationofChina ( 1 0 0 72 0 1 3 )，DoctoralFoundationof
China ( 980 1 41 1 9) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＦｅｒｍｉ,ＰａｓｔａａｎｄＵｌａｍ1]ｐｒｅｓｅｎｔｅｄａｗｅｌｌ＿ｋｎｏｗｎｐｒｏｂｌｅｍｗｈｙｓｏｌｉｄｓｈａｄｆｉｎｉｔｅｈｅａｔｃｏｎｄｕｃｔｉｖｉｔｙ ,ｗｈｉｃｈｗａｓｃａｌｌｅｄｔｈｅＦｅｒｍｉ＿Ｐａｓｔａ＿Ｕｌａｍ(ＦＰＵ)ｐｒｏｂｌｅｍ .Ｔｈｅｓｏｌｉｄｉｓｍｏｄｅｌｌｅｄｂｙａｏｎｅ＿ｄｉｍｅｎｓｉｏｎａｌｌａｔｔｉｃｅ ,ａｓｅｔｏｆｍａｓｓｅｓｃｏｕｐｌｅｄｂｙｓｔｒｉｎｇ .Ｔｈｅｅｑｕａｔｉｏｎｓｇｏｖｅｒｎｉｎｇｔｈｅｄｙｎａｍｉｃｓｏｆｔｈｉｓｌａ…
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| 收稿时间： | 12 December 2000 |
Similarity reductions for the nonlinear evolution equation arising in the fermipasta-ulam problem |
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| Xie Fu-ding Lecturer, Doctor,Yan Zhen-ya,Zhang Hong-qing.SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):380-386. |
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| Authors: | Xie Fu-ding Lecturer Doctor Yan Zhen-ya Zhang Hong-qing |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China |
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| Abstract: | Four families of similarity reductions are obtained for the nonlinear evolution equation arising in the Fermi-Pasta-Ulam problem via using both the direct method due to Clarkson and Kruskal and the improved direct method due to Lou. |
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| Keywords: | nonlinear evolution equation FPU problem similarity reduction |
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