Similarity Reductions for the Nonlinear Evolution Equation Arising in the Fermi-Pasta-Ulam Problem
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摘要: 利用Clarkson和Kruskal引入的直接法和Lou的改进的直接法,给出了源于Fermi-Pasta-Ulam问题的非线性发展方程的4种类型的相似约化.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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Key words:
- nonlinear evolution equation /
- FPU problem /
- similarity reduction
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