| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7174657 | International Journal of Non-Linear Mechanics | 2014 | 6 Pages |
Abstract
Kudryashov and Sinelshchikov (2010) [2], [3] have developed a one-dimensional theory of the flow of a liquid with gas bubbles. The propagation of waves is described by an evolution equation that contains non-linear terms in the higher derivatives. In the present paper it is shown that traveling-wave solutions of the Kudryashov-Sinelshchikov equation can be found from corresponding solutions of a generalized Korteweg-de Vries equation. Also a new type of periodic waves governed by the KS equation is constructed by gluing together bounded sections of otherwise unbounded solutions of the associated generalized KdV equation.
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Mechanical Engineering
Authors
Merle Randrüüt, Manfred Braun,