SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (4): 380-386.

SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM

谢福鼎, 闫振亚, 张鸿庆

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R.China

收稿日期:2000-12-12 修回日期:2001-10-09 出版日期:2002-04-18 发布日期:2002-04-18
通讯作者: ZHANG Hong-qing
基金资助:
the National Key Basic Research Development Project Program of China (G1998030600);the National Natural Science Foundation of China (10072013);Doctoral Foundation of China (98014119)

SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM

XIE Fu-ding, YAN Zhen-ya, ZHANG Hong-qing

Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R.China

Received:2000-12-12 Revised:2001-10-09 Online:2002-04-18 Published:2002-04-18
Supported by:
the National Key Basic Research Development Project Program of China (G1998030600);the National Natural Science Foundation of China (10072013);Doctoral Foundation of China (98014119)

摘要/Abstract

摘要： 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.

中图分类号:

O175.29

谢福鼎;闫振亚;张鸿庆. 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.

XIE Fu-ding;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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SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM

SIMILARITY REDUCTIONS FOR THE NONLINEAR EVOLUTION EQUATION ARISING IN THE FERMI-PASTA-ULAM PROBLEM

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