Nonlinear evolution equation for describing waves in a viscoelastic tube
β Scribed by Nikolai A. Kudryashov; Dmitry I. Sinelshchikov
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 233 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
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β¦ Synopsis
Propagation of the nonlinear waves in a viscoelastic tube filled with a liquid is studied. The bending of the tube wall is taken into account. By using the reductive perturbation method the fifth order nonlinear evolution equation is derived. Exact solutions for this equation is obtained by means of the simplest equation method. Properties of nonlinear waves in a viscoelastic tube filled with a liquid are discussed.
π SIMILAR VOLUMES
## Abstract In this paper the nonlinear viscoelastic wave equation associated with initial and Dirichlet boundary conditions is considered. Under suitable conditions on __g__, it is proved that any weak solution with negative initial energy blows up in finite time if __p__ > __m__. Also the case o
In physical sciences, nonlinear evolution equations (NLEEs) and their exact solutions are of fundamental importance. However, there is no answer yet as to whether or not one is able to go beyond travelling waves with the recently proposed tanh method. In this paper, without loss of conciseness and s