Multiscale symplectic perturbation method for FPU equation
Received:May 13, 2014  Revised:August 19, 2014
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DOI:10.7511/jslx201505002
KeyWord:FPU  symplectic  perturbation  multiscale
        
AuthorInstitution
吴锋 大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连
高强 大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连
钟万勰 大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连
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Abstract:
      FPU equation is a classical nonlinear system,which involves the multiscale problem.Herein,a multiscale symplectic perturbation method is developed for the FPU equation.The proposed method could produce the results at different scales,calculate precisely in a long time,overcome the stiff problem,compute with a big time step,and overcome the problem of numerical resonance.The numerical examples shown the efficiency of the proposed method.