Special solutions of high order equation for waves in liquid with gas bubbles
Exactly Solvable and Integrable Systems
2014-09-24 v1
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.
Keywords
Cite
@article{arxiv.1409.6700,
title = {Special solutions of high order equation for waves in liquid with gas bubbles},
author = {Nikolay A. Kudryashov and Dmitry I. Sinelshchikov},
journal= {arXiv preprint arXiv:1409.6700},
year = {2014}
}