Abstract
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 Schrödinger (GNLS) equation. Some exact solutions, including oscillatory and solitary waves of the GNLS equation are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 83-101 |
| Number of pages | 19 |
| Journal | Applied Mathematics and Computation |
| Volume | 149 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 5 Feb 2004 |
Funding
In conducting this research, H. Demıray was supported by the Turkish Academy of Sciences; I. Bakirtaş was supported by the Scientific and Technical Research Council of Turkey. I. Bakirtaş is also thankful to Professor T.B. Moodie for his hospitality while she was visiting the University of Alberta to carry out a part of this research.
| Funders | Funder number |
|---|---|
| Türkiye Bilimsel ve Teknolojik Araştirma Kurumu | |
| Türkiye Bilimler Akademisi |