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arXiv · 1409.6700

Special solutions of high order equation for waves in liquid with gas bubbles

Nikolay A. Kudryashov·Dmitry I. Sinelshchikov
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Abstract

A fifth--order nonlinear partial differential equation for the description of nonlinear waves in a liquid with gas bubbles is considered. Special solutions of this equation are studied. Some elliptic and simple periodic traveling waves solution are constructed. Connection of self--similar solutions with Painleve transcendents and their high--order analogous is discussed.

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Nikolay A. Kudryashov, Dmitry I. Sinelshchikov. 2014-09-23. Special solutions of high order equation for waves in liquid with gas bubbles. https://doi.org/10.1134/s1560354714050050

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