Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes
نویسندگان
چکیده
Using the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves near the marginal state is examined through the use of reductive perturbation method. It is shown that the amplitude modulation near the marginal state is governed by a generalized nonlinear Schr€ odinger (GNLS) equation. Some exact solutions, including oscillatory and solitary waves of the GNLS equation are presented. 2003 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 149 شماره
صفحات -
تاریخ انتشار 2004