On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
Citation
Demiray, H. (2004). On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions. International Journal of Engineering Science, 42(15-16), 1693-1706. doi:10.1016/j.ijengsci.2004.02.003Abstract
In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the longwave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it might be possible to obtain the conventional Korteweg-deVries (KdV) and the modified KdV equations of various forms. Finally, a set of progressive wave solutions is presented for such evolution equations.
Source
International Journal of Engineering ScienceVolume
42Issue
15-16Collections
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