中国物理B ›› 1998, Vol. 7 ›› Issue (10): 721-726.doi: 10.1088/1004-423X/7/10/001

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ENVELOPE SOLITON UNDER DISSIPATION IN A FLUID-FILLED ELASTIC TUBE

段文山1, 赵存元1, 吕克朴1, 王本仁2, 魏荣爵2   

  1. (1)Department of Physics, Northwest Normal University, Lanzhou 730070, China; (2)Institute of Acoustics and State Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:1997-11-17 修回日期:1998-06-08 出版日期:1998-10-20 发布日期:1998-10-20
  • 基金资助:
    Project supported by the Natural Science Foundation and Education Commission of Gansu Province, China.

ENVELOPE SOLITON UNDER DISSIPATION IN A FLUID-FILLED ELASTIC TUBE

Duan Wen-shan (段文山)a, Zhao Cun-yuan (赵存元)a, Lü Ke-pu (吕克朴)a, Wang Ben-ren (王本仁)b, Wei Rong-jue (魏荣爵)b   

  1. a Department of Physics, Northwest Normal University, Lanzhou 730070, China; b Institute of Acoustics and State Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China
  • Received:1997-11-17 Revised:1998-06-08 Online:1998-10-20 Published:1998-10-20
  • Supported by:
    Project supported by the Natural Science Foundation and Education Commission of Gansu Province, China.

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摘要： By using the reductive perturbation method, the carrier wave modulation propagating in a weakly viscous fluid-filled elastic tube is investigated. It is shown that such a process can be described by equation Aτ+iBAξξ+iC|A|2A+DA=0 and the amplitude of envelope soliton will decrease as it propagates away.

Abstract: By using the reductive perturbation method, the carrier wave modulation propagating in a weakly viscous fluid-filled elastic tube is investigated. It is shown that such a process can be described by equation A$\tau$+iBA$\xi\xi$+iC|A|2A+DA=0 and the amplitude of envelope soliton will decrease as it propagates away.

中图分类号:  (Solitary waves)

  • 47.35.Fg
47.60.-i (Flow phenomena in quasi-one-dimensional systems) 47.11.-j (Computational methods in fluid dynamics)