Skip to main content
Log in

The wild solutions of the induced form under the spline wavelet basis in weakly damped forced KdV equation

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In the paper what is studied is the wild solution of the induced form under the spline wavelet basis in weakly damped forced KdV equation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. O. Goubet, Construction on approximate inertial manifolds using wavelets,SIAM. J. Math. Anal.,9 (1992), 1455–1481.

    Article  MathSciNet  Google Scholar 

  2. Tian Lixin and Xu Zhenyuan, The research of longtime dynamics behavior in weakly damped forced KdV equation,Applied Mathematics and Mechanics (English Ed.),18, 10 (1997), 1021–1028.

    Google Scholar 

  3. Lu Dianchen, Tian Lixin and Liu Zengrong, Wavelet basis analysis in perturbed periodic KdV equation,Applied Methametics and Mechanics (English Ed.),19, 11 (1998), 1053–1058.

    Google Scholar 

  4. J. M. Ghidaglia, Weakly damped forced KdV equation behave as finite dimensional dynamical system in the longtime,J. Differential Equations,74 (1988), 369–390.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. Debussche and M. Marion, On the constructure of families of approximate inertial manifolds,J. Differential Equations,100 (1992), 173–201.

    Article  MATH  MathSciNet  Google Scholar 

  6. C. K. Chui,An Introduction to Wavelet, Academic Press Inc., USA (1992).

    Google Scholar 

  7. C. Foias, G. Sell and R. Temann, Inertial manifolds for nonlincar evolutionary equation,J. Differential Equations,73 (1988), 309–353.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the National Natural Science Foundation of China (19601020) and the Science-Technology Foundation of Minitry of Machine-building Industry of P. R. China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yurui, L., Lixin, T. & Zengrong, L. The wild solutions of the induced form under the spline wavelet basis in weakly damped forced KdV equation. Appl Math Mech 19, 1161–1166 (1998). https://doi.org/10.1007/BF02456637

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456637

Key words

Navigation