Advertisement

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations