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.


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    Title :

    Localized travelling waves in a prestressed thick elastic tube


    Contributors:
    Demiray, H. (author)

    Published in:

    Publication date :

    2001


    Size :

    11 Seiten, 13 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English






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