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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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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. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第4期380-386,共7页 应用数学和力学(英文版)
基金 theNationalKeyBasicResearchDevelopmentProjectProgramofChina(G1 9980 3 0 60 0 ) theNationalNaturalScienceFoundationofChina ( 1 0 0 72 0 1 3 ) DoctoralFoundationofChina ( 980 1 41 1 9)
关键词 nonlinear evolution equation FPU problem similarity reduction nonlinear evolution equation FPU problem similarity reduction
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参考文献10

  • 1Newell A C.Solitons in Mathematics and Physics[]..1985
  • 2Ovler P J.Applications of Lie Group to Differential Equations[]..1989
  • 3Ablowitz M J,Ramani A,Segur H.A connection between nonlinear evolution equations and ordinary differential equations of P_type Ⅰ[].Journal of Mathematical Physics.1980
  • 4YAN Zheng_ya,ZHANG Hong_qing.Symmetry reductions for the generalized KP equation[].Journal of Applied Mathematics.2002
  • 5Eilenberger G.Solitons _Mathematical Methods for Physics[]..1981
  • 6Blumann G W,Cole J D.Nonclassical symmetries of partial differential equations[].Journal of Mathematics and Mechanics.1969
  • 7Lou S Y.Nonclassical symmetry reductions for the dispersive wave equations in shallow water[].Journal of Mathematical Physics.1992
  • 8Clarkson P A,Kruskal M D.New similarity reductions of the Boussinesq equation[].Journal of Mathematical Physics.1989
  • 9Fermi E,Pasta J,Ulam S.Studies of Nonlinear Problems[].In: Newell Ed.1974
  • 10Ablowitz M J,Clarkson P A.Soliton Nonlinear Evolution Equations and Inverse Scattering[]..1991

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