Similarity reductions for the nonlinear evolution equation arising in the Fermi-Pasta-Ulam problem

DOI10.1007/BF02436206zbMath1008.35068OpenAlexW1981381773MaRDI QIDQ698970

Fuding Xie, Zhenya Yan, Hong-Qing Zhang

Publication date: 30 September 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02436206

zbMATH Keywords

nonlinear evolution equationsimilarity reductionFermi-Pasta-Ulam problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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• Solitons. Mathematical methods for physicists
• New similarity reductions of the Boussinesq equation
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Nonclassical symmetry reductions for the dispersive wave equations in shallow water

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