源于Fermi-Pasta-Ulam问题的非线性发展方程的相似约化

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基金项目: 国家重点基础研究发展规划项目(G1998030600);国家自然科学基金资助项目(10072013);高等学校博士学科点专项科研基金资助课题(98014119)

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

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.
- 非线性发展方程 /
- FPU问题 /
- 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.
- nonlinear evolution equation /
- FPU problem /
- similarity reduction

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