Similarity Reductions for the Nonlinear Evolution Equation Arising in the Fermi-Pasta-Ulam Problem

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

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(4): 347-352

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, 2002, 23(4): 347-352.

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Similarity Reductions for the Nonlinear Evolution Equation Arising in the Fermi-Pasta-Ulam Problem

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

Received Date: 2000-12-12
Rev Recd Date: 2001-10-09
Publish Date: 2002-04-15

Abstract

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.
- nonlinear evolution equation,
- FPU problem,
- similarity reduction

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References(11)

References

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