Communications in Theoretical Physics

• • Previous Articles     Next Articles

Solitary Wave and Wavelet

LIU Shi-Da, FU Zun-Tao, LIU Shi-Kuo, XIN Guo-Jun, and LIANG Fu-Ming   

  1. School of Physics, Peking University, Beijing 100871, China
  • Received: 2003-06-06 Revised: 1900-01-01 Published: 2004-03-15

Abstract: In this paper, it is shown that the homoclinic orbits exist in iterated functional systems, so do the solitary wave structures. Moreover, Harr father wavelet, Mexican Cap wavelet, and other closed form wavelets have this solitary wave structure, too. So wavelet is a certain kind of solitary wave.

Key words: solitary waves, wavelet, homoclinic orbit, wavelet transform

PACS numbers: 

  • 02.90.+p