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
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.
Received: 17 November 1997
Revised: 08 June 1998
Accepted manuscript online:
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