Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (11): 1053-1058.

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WAVELET BASIS ANALYSIS IN PERTURBED PERIODIC KdV EQUATION

Lu Dianchen1, Tian Lixin1, Liu Zengrong2   

  1. 1. Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China
  • Received:1997-08-11 Online:1998-11-18 Published:1998-11-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No: 19601020) and by the Natural Science Foundation of Jiangsu Province

Abstract: In the paper by using the spline wavelet basis to constructr the approximate inertial manifold, we study the longtime behavior of perturbed perodic KdV equation.

Key words: wavelet basis, approximate inertial manifold, perturbed periodic KdV equation

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