ENVELOPE SOLITON UNDER DISSIPATION IN A FLUID-FILLED ELASTIC TUBE

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.