Localized travelling waves in a prestressed thick elastic tube
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CitationDemiray, H. (2001). Localized travelling waves in a prestressed thick elastic tube. International Journal of Non-Linear Mechanics, 36(7), 1085-1095. doi:10.1016/S0020-7462(00)00073-1
In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is investigated. Employing the hyperbolic tangent method and considering the long-wave limit, we showed that the lowest-order term in the perturbation expansion gives a solitary wave equivalent to the localized travelling wave solution of the Korteweg-de Vries equation. The progressive wave type of solution is also sought for the second-order terms in the perturbation expansion. The correction terms in the speed of propagation are obtained as part of the solution of perturbation equations.