Applied Mathematics and Mechanics

, Volume 9, Issue 7, pp 707–709 | Cite as

On analytical solutions of the equation utt − cu xx + au + bu3 = 0

  • Wang Mao-hua
Article
  • 12 Downloads

Abstract

In this paper a set of the analytical solutions of the equationu ttcu xx +au+bu 3=0 are given.

Keywords

Mathematical Modeling Exact Solution Nonlinear System Apply Mathematic Industrial Mathematic 

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References

  1. [1]
    Wingate, Charles A., Numerical search for aφ 4 breather model,Siam Journal on Applied Mathematics,43, 1 (1983), 120–140.MathSciNetCrossRefGoogle Scholar
  2. [2]
    Holmes, C. and P. Holmes, Second order averaging and bifurcation to subharmonics in Duffing’s equation,Journal of Sound and Vibration,78, 2 (1981), 161–174.MATHMathSciNetGoogle Scholar
  3. [3]
    Arnold, Thomas W. and William Case, Nonlinear effects in a simple mechanical system,American Journal of Physics,50, 3 (1982), 220–224.CrossRefGoogle Scholar
  4. [4]
    Rao, A.C., Energy correlation method for the transient solution of a one-degree-of-freedom nonlinear system,Mechanism and Machine Theory,18, 5 (1983), 335–338.CrossRefGoogle Scholar

Copyright information

© SUT 1988

Authors and Affiliations

  • Wang Mao-hua
    • 1
  1. 1.Beijing Institute of Aeronautics and AstronauticsBeijing

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